Quote Originally Posted by Jessika View Post

Also, if you want a kitty pet, there is a NPC named Tabetha in a house outside the entrance to Stormwind that sells cats, or you can run Deadmines for a Siamese kitty

That is, if you're alliance, not sure if you're horde you may want to try the neutral auction houses (there are some in Booty Bay, Stranglethorn Vale; Ratchet, The Barrens; Everlook, Winterspring; and Gadgetzan, Tanaris).
Don't forget the little white kitten the boy sells in Stormwind.

Outside of Ironforge there is a farm that sells Bunnies, too.