Azerite equipment is currently balanced around being able to unlock the outermost, earliest tier of power immediately upon acquisition, while delaying further advancement until the Heart has been further empowered. For example, the first piece of Azerite equipment, gained shortly after the Heart itself, is fully empowered once the Heart of Azeroth has reached level 3. A character at 120 (the maximum for the expansion) may find a piece whose first tier requires the Heart to have grown to level 12 or greater.

While leveling, try to make use of the new Battle of Azeroth experience gem, Insightful Rubellite, which gives you +5% experience. Equipping one of these requires a socket in your gear, so try to hold on to a piece of Legion gear with a socket or acquire one of the Legion Legendary rings since every class has one. Each of the rings includes a socket. You can acquire one of these rings rather easily by doing World Quests in Legion zones and acquiring 1,000 Wakening Essences that can be used to purchase a legendary ring in the Legion version of Dalaran.


Anyway, there are no more shortcuts. There are no more "Tricks". It's just straight questing now since Blizzard nerfed other methods of leveling. You can still do dungeon spam, it just won't be as fast. You can still do BGs, it just won't be as fast. Just about the only alternative way to level that rivals questing is Pet Battles(which makes ZERO sense).
Similar problems have risen in the leveling system, which automatically scales to the player’s level and equipment. For the most part, you’ll vaporize enemies more quickly as you gain power, but there are some weird dips. Many players complained they felt less powerful at level 119 than at level 110, a problem I experienced myself. And world PvP remains a strange and whacky world where level and class balance issues make wins and losses feel destined instead of earned.

Unlock all of the traits in your Azerite Armor. Each piece of Azerite Armor — which can be head pieces, chest pieces and shoulders — has three traits that you can unlocked with Azerite Power, or AP. AP is something that most types of endgame activities will give you in Battle for Azeroth, but some are more effective than others. In the first few weeks, you’ll want enough AP to unlock all of the traits on all of your armor, however much that may be.
 Lightforged draenei - "For untold millennia, the Army of the Light waged war against the Burning Legion throughout the Twisting Nether. The draenei most committed to their long crusade would undergo a ritual to become Lightforged, infusing their bodies with the very essence of the Holy Light. After finally achieving victory on Argus, the Lightforged Draenei have undertaken a new mission: protecting Azeroth from rising threats and helping the Alliance push back against Horde aggression."
Heart of Azeroth:[5] Our world is direly wounded. Players will be summoned via Magni Bronzebeard to Azeroth herself. She will gift players with a medallion called the [Heart of Azeroth]. Her life essence seeps from the world in the form of  [Azerite]. When players wearing the medallion come in contact with azerite, this sought after resource becomes a source of power for selected pieces of armor, providing players a way to level them up. This feature replaces the artifact system of World of Warcraft: Legion. Currently the plan of development is to limit the upgrade system to 3 pieces of armor. Players will be able to choose the stats they want to better fit their play-style.
Darkmoon Faire: The Darkmoon Faire comes around once a month and provides two ways of bonus XP. You can ride the carousel to get the “Whee!” buff (10% bonus XP for one hour). You can also get the Darkmoon Top Hat by playing a few games, which gives you 10% bonus XP but only works during the Darkmoon Faire. Both of these are generally not worth it for the most part, as you spend more time running to get the buff than you gain in XP when leveling.
Unlock all of the traits in your Azerite Armor. Each piece of Azerite Armor — which can be head pieces, chest pieces and shoulders — has three traits that you can unlocked with Azerite Power, or AP. AP is something that most types of endgame activities will give you in Battle for Azeroth, but some are more effective than others. In the first few weeks, you’ll want enough AP to unlock all of the traits on all of your armor, however much that may be.
Step-by-step class guides are on the way!  The 1-12 Mulgore Guide is the first guide to get all the individual class steps.  At the top of the guide, simply select which class you are playing and the page will dynamically update all the steps in the guide for that class (both text and images).  The rest of the guides will be slowly updated overtime to include all the class steps, but you can see how it's going to work with the 1-12 Mulgore.  I want to thank crazyK and his Placeholderguild for helping me out with the individual class content.  They are allowing me to get the 1-60 Alliance guide done while also getting all the class steps done at the same time, so everything can be ready for Classic launch (hopefully).
Dugi’s leveling guide is the leveling addon I’ve always used to level as fast as possible. It will show you where to go and what to do in-game, speeding up the leveling process. This is optional though, as the game already does a pretty good job at showing you where to go at all times. The addon does, however, come with a couple of other nice features and perks.
Do quests and complete the story of your first chosen area before returning to your capital to scrap all of the equipment items you acquired. You should be around Level 113 by the time you complete your first area. Before selecting your second zone, head to your faction hub ship to acquire your introductory quests to the mission table and your champions. Complete this introduction and then pick up the quest to establish your first foothold in enemy territory. 
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