Each of my characters has their own noncombat pets, something that I decided early on fit them. My Human Shadow Priest has a cute black cat, my Undead Rogue brings a Snowshoe Rabbit along with him to the BGs (just because I love stealthing and thinking of a little rabbit hopping around on its own), and while my Orc Shaman used to rock a snake, he recently got One-Eyed Willy (no comment) from Children's Week, and every chance I get I pull it out (still no comment), and wait for Willy to do his eyebeam thing. Unfortunately, I haven't seen it happen yet.
Of all the noncombat pets in the game, do you call just one your own or do you have a bunch that you rotate around? Which one do you use most often?