Neverwinter is no exception. The latest Perfect World dev diary shines the spotlight on four-or-more-legged transportation, and the company says that it is "drawing on D&D lore for all kinds of spectacular mounts."
Said mounts will be available from Founder's Packs, the cash shop, and in-game as mid-level rewards. The devs are also planning on dedicated PvP and Foundry mounts. It's also worth mentioning that mounts are not class- or race-specific. As long as you've unlocked a mount, your avatar can ride it regardless of his physical size or lack thereof.