I'm not sure what the "or bird" part is here for. Birds are animals, seems kinda redundant... I always desire petting fancy mice. I guess since Ты put the bird part, I want to pet a chick. Chicks are just adorable. ....Also, Rowlet.
Well I Любовь pups but Ты really need to have a lot of time to get a dog for your pets especially when Ты are a student and your parents don't agree to get Ты one, so besides it I would Любовь to have a черепаха and it seems my mom won't mind me having one.
Birds are classified as Животные too though. Well, I would Любовь to pet an Eagle (Preferably a Golden one as it is also my Избранное Animal in general). I have always admired their Grace and feeling of Freedom they inspire !!!!