I think Parker would have something like a mongoose. I see Hardison having some kind of fluffy cat and he's really defensive when people are amused by this; she has a long and complicated name that involves some kind of European title. XD

(I'm kinda picturing Eliot sitting to one side with his arms folded, tiny smirk on his face, like, "Man insulted your cat. You gonna let that slide?" and ridiculously enjoying the ensuing scuffle)