So in my life i've been many types of pets throughout my experiences.
Ive been a bun bun boy, wolf, puppy, fox, kitten and a fawn.
There is nothing wrong in having your partner/dom pick the pet you are if you can get into the space for it plus its fun to be different pets sometimes.
Some stuff i did as each pet was
puppyspace; tricks, eat bone shaped cookies, fetch, wag tail,etc
fawnspace; dress very nonbinary ,sing, prance around, act shy, make grunts like a fawn, wear fawn ears
bunbunspace; eat carrots and veggies and fruits, hop around, get on all fours a lot and prance, be very energetic, always wore a pompom as a tail.