But I don't know :( I'm not on Subeta much and I don't really mess with all of my pets. I'm thinking of giving one (or two) of them to someone who's new to the site. Should I?

hey, they're your pets. P: do what you want with them, only give them up if you REALLY want to. who knows, you might find some use for them in the future.

Is there any way I can give the pets to a specific person? Just wondering =P

yep, when you click on your pet, there's an option along with the edit treasure/edit minion/etc to give the pet to a friend.