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 आप put the bird part, I want to pet a chick. Chicks are just adorable. ....Also, Rowlet.
Well I प्यार pups but आप really need to have a lot of time to get a dog for your pets especially when आप are a student and your parents don't agree to get आप one, so besides it I would प्यार to have a कछुआ, कछुए and it seems my mom won't mind me having one.
Birds are classified as जानवर too though. Well, I would प्यार to pet an Eagle (Preferably a Golden one as it is also my प्रिय Animal in general). I have always admired their Grace and feeling of Freedom they inspire !!!!