Questions

Is it possible to have more than 3 pets? And how do I disown a pet?

Yes, you can have multiple pets. Buy one of these items and use it:

Taking Care of Many Pets
Pet Permit

You can put a pet up for Adoption by going to My Pets, clicking the Pet, and then scrolling to the bottom of the page. You'll see the option 👍

thank you. I figured it out