Mounts are animals you can ride to move at a faster speed. You can get your first mount once you complete the Mount quests you get at level 10.
You will get one of these mounts once you complete the Mount quests. It seems the colour is decided by random.
You will get to ride a Pink Zippie for a quest.
Temporary mounts can also be purchased from the item mall. These mounts can be made permanent with Planar Essence.