Ahoy,
When I had my first pet I always took my pet out of the pet chest. Now these days I almost always forget I have a pet and rarely take it out of my pet chest.
My idea is that you can save your pet just like your tool skins. You will have an option in your pet chest to save the selected pet, so that when you join a new server your pet will automatically appear next to you. This will also save you from having to go to the pet chest after each session.
