1-6 Mulgore
First off, it is important to note that every where you travel, kill all the mobs along the way!  You will simply level faster by doing so.  I may remind you a few times more in the guide, but always remember this.
"The Hunt Begins" .
"The Hunt Begins"
"The Hunt Begins" accept "The Hunt Continues" and "Etched Note".
"Etched Note" while getting new spells/abilities.  Also accept "A Humble Task" in the hut (44.76).
"A Humble Task", accept the next part then pickup a Water Pitcher on the well (next to the quest giver).
A Humble Task" Rites of the Earthmother".
Rites of the Earthmother" accept "Rite of Strength".
"The Hunt Continues"
"The Hunt Continues" and accept "The Battleboars", also accept "Break Sharptusk!".
The Battleboars". Once you get to the cave, then go to the next step..
"Rite of Strength".  Once you get to the tent, kill/loot Chief Sharptusk Thornmantle for "Break Sharptusk!".
Dirt-stained Map. Use it to start "Attack on Camp Narache".
"The Battleboars", "Break Sharptusk!", "Attack on Camp Narache" and "Rite of Strength" then accept "Rites of the Earthmother" part 2.
"A Task Unfinished" .
6-9 Mulgore
01) Once at Bloodhoof Village accept "Dangers of the Windfury" (47.62).
02) Go into the Inn (entrance is at 47.60) and train Apprentice First Aid, and turn in "A Task Unfinished".  Also make Bloodhoof Village your new home for your hearthstone (by talking to the innkeeper).
03) Just outside of the inn, turn in "Rites of the Earthmother" and accept "Sharing the Land", "Dwarven Digging" and "Rite of Vision".
04) Accept "Poison Water" (48.60).
05) Go in the hut (next to you) and accept "Swoop Hunting" (49.59).
06) Turn in "Rite of Vision" (48.57), accept part 2.
07) Accept "Mazzranache" (47.57).
08) Get new spells/abilities for your class.
09) Go east of the main path and do "Rite of Vision" by looting Ambercorns around the trees and loot Well Stones (around the well at 53.64).  Grind any mobs you see along the way.
10) All around the area, start doing "Poison Water", "Swoop Hunting" and "Mazzranache".  Kill & loot Wolves, Plainstriders and Cougars.  Work your way south to do the next steps as well:
11) Do "Sharing the Land", south (around 52.70).  NOTE: There are several camps of these mobs and the Poachers are in certain camps.
12) Go east a bit and do "Dangers of the Windfury" (62.71), kill and loot the harpies.
13) Find Morin Cloudstalker along the path (patrols around 54.60) and accept "The Ravaged Caravan".
14) Do "The Ravaged Caravan" by going to the ravaged caravan (54.48) and open the Sealed Supply Crate to turn the quest in, accept the next part.
15) Make sure all quests are complete (besides "Dwarven Digging"), then Hearth (or die on purpose) to go back to Bloodhoof Village and turn in "Sharing the Land" (47.60).
16) Turn in "Dangers of the Windfury" (47.62).
17) Turn in "Poison Water" (49.60), accept "Winterhoof Cleansing".
18) Go in the hut and turn in "Swoop Hunting" (49.59).
19) Turn in "Rite of Vision" (48.58), accept the next part.  NOTE:  Don't bother using  Water of the Seers quest item.
20) Turn in "Mazzranache" (47.57).  Make sure you are all repaired, supplied and new spells/abilities.
9-10 Mulgore
01) Go to Morin Cloudstalker (around 54.60) and turn in "The Ravaged Caravan", accept "The Venture Co." and "Supervisor Fizsprocket".
02) Do "Winterhoof Cleansing" by using the Winterhoof Cleansing Totem quest item on the well (54.66).
03) Run back and turn in "Winterhoof Cleansing" (49.60), accept "Thunderhorn Totem".
04) While focusing on the next steps, also work on "Thunderhorn Totem", kill/loot Prairie Stalkers and Flatland Cougars...
05) Start doing "Dwarven Digging" (around 31.50), find picks and use them at a forge.  NOTE:  Without grouping, it is hard to get to the forge there.  Instead, there will be other forges later on in the guide you will use.  For now, just get 5 Prospector's Picks from the diggers, as they are easier to kill solo.
06) Go up north to the cave (33.36) and turn in "Rite of Vision", accept the next part.
07) Work your way east and accept "A Sacred Burial" (60.25).
08) Work your way to the Ancestral Spirit (62.21) while working on "A Sacred Burial" (kill Bristlebacks).  Once you get to the Ancestral Spirit turn in "Rite of Vision" accept "Journey into Thunder Bluff".
09) Go turn in "A Sacred Burial" (60.25). (#6 on map)
10) Finish up "Thunderhorn Totem", kill/loot Prairie Stalkers and Flatland Cougars (around the middle of Mulgore).
11) If you are not level 10, grind until you are, then grind to (47.38 or below this point) and die on purpose to get to Bloodhoof Village.
12) Accept "The Hunter's Way" (47.60).
13) Turn in "Thunderhorn Totem" (49.60), accept "Thunderhorn Cleansing".
14) Get new spells/abilities and do your class's level 10 quests.  For a hunter, go accept "Taming the Beast" (48.56), then do it by using the Taming Rod on an Adult Plainstrider in the area.  NOTE:  You can find all these mobs to tame just north of the lake around Bloodhoof Village.  Then go back turn it in and accept Part2, then use the Taming Rod on a Prairie Stalker.  Then go back turn it in and accept Part3, then use the Taming Rod on a Swoop.  Then go back turn it in and accept "Training the Beast".
15) Do "Thunderhorn Cleansing" by using the Thunderhorn Cleansing Totem on the well (45.45).
16) Go north to Thunder Bluff (a Lift is at 36.30 in Mulgore), and build up First Aid while waiting for the Lift.
Thunder Bluff (TB)
01) In TB, accept "Preparation for Ceremony" (38.60).
02) Fnish up "Dwarven Digging" by using your 5 Prospector's Picks at the Thunder Bluff Forge (40.56).
03) For hunters, go to the Hunter Rise (57.90) and turn in "Training the Beast".  Also learn any new spells/abilities if you can afford to.  Try to save some money to buy meat for the pet you are about to tame.
04) Go to the Pet Trainer (54.84) and get new abilities for your pet.
05) Turn in "Journey into Thunder Bluff" (60.52), accept "Rites of the Earthmother".
06) Go to the Meat Vendor (52.48) and buy meat for the cat you are about to tame in a bit.
07) Go to the Weapon Master (41.63) and get new Weapon possibilities (if you can afford to).
08) Leave TB by taking the Lift down (31.64).
09) For hunters, tame your first real pet.  Tame a Flatland Cougar (around the immediate area) for higher DPS.
10-12 Mulgore
01) Do "Supervisor Fizsprocket", Kill Supervisor Fizsprocket in the cave (62.47).  Keep hugging the right side of the cave straight through to get to him.  Also make sure "The Venture Co." is finished before continuing.
02) Die on purpose to get to Bloodhoof Village and turn in "Dwarven Digging" (48.60).
03) Turn in "Thunderhorn Cleansing" (49.60), accept "Wildmane Totem".
04) Go find Morin Cloudstalker along the path (around 54.60) and turn in "The Venture Co." and "Supervisor Fizsprocket".
05) While doing the following steps up north also focus on doing "The Hunter's Way" along with "Wildmane Totem" by kill/looting the Flatland Cougars & Prairie Wolf Alphas (mostly north of TB):
06) Do "Rites of the Earthmother" by killing Arra'chea and loot his horn.  Arra'chea is a kodo that patrols clockwise just to the right of TB.  His original spawn point is at (49.19).  If you can't find him in time, then it can be skipped.
07) Work your way to the very north of Mulgore (around 55.17) and do "Preparation for Ceremony" by kill/looting the harpies (These harpies are in many camps north and north-west of Mulgore).
08) Make sure "The Hunter's Way" along with "Wildmane Totem" are finished, kill/loot Flatland Cougars & Prairie Wolf Alphas (mostly north of TB).
09) Go to the Lift (41.22) to go into TB.  NOTE:  If you are real far away from that, you can die on purpose to get right to the Lift.
Thunder Bluff
01) Go to the Elder-Rise and accept "The Barrens Oases" (79.29).
02) Turn in (if you did it) "Rites of the Earthmother" (60.52).
03) Go to the Hunter Rise and turn in "The Hunter's Way" (62.81), accept "Sergra Darkthorn".
04) Get new spells/abilities for your class.
05) Turn in "Preparation for Ceremony" (38.59).
11-12 Mulgore
01) Hearth to Bloodhoof Village.
02) Turn in "Wildmane Totem" (49.60), accept "Wildmane Cleansing".
03) Grind your way to (47.33) then die on purpose and res at spirit.
04) Go south a bit and do "Wildmane Cleansing" by using the Wildmane Cleansing Totem quest item at the well (43.14).
05) Then grind to (47.38) and die on purpose to get back to Bloodhoof Village.
12 The Barrens
01) Run east into the Barrens and get the Flight Path in Camp Taurajo (44.59 in the Barrens).
02) Accept "Journey to the Crossroads" (45.59).
03) Follow the path north to the Crossroads (XRs) and turn in "The Barrens Oases" (52.32), accept "The Forgotten Pools"
04) Turn in "Sergra Darkthorn" (52.31), accept "Plainstrider Menace".
05) Accept "Meats to Orgrimmar" (53.30).
06) Go in the Inn and make XRs your new home (52.30).
07) Accept "Raptor Thieves" right outside of the Inn (52.30).
08) Go to the orc standing at the bottom of the watch tower and turn in "Journey to the Crossroads" (52.31), accept "Disrupt the Attacks" and "Supplies for the Crossroads".
09) Go up the watch tower next to you and accept "Harpy Raiders".
10) Drop down, go to the Flight Master and turn in "Meats to Orgrimmar", SKIP "Ride to Orgrimmar".  And right next to the Flight Master accept "Fungal Spores" and "Wharfmaster Dizzywig"
11) Accept "A Bundle of Hides" (51.29).
12) At the Flight Master, turn in "A Bundle of Hides", SKIP "Ride to Thunderbluff"

Next Page:  levels 12+, Barrens