Can I change or rename my pet?

Yes. Tap your pet's card on Home (anywhere except on your pet) to open its details, then tap Rename or Change pet; or long-press the card's name for Rename… and Change Pet…. Rename lets you type a name of up to 20 characters; clear it and save to use the animal's name instead. Change pet picks another animal or coat for the same companion: it keeps its name, hearts, hat, room, and keepsakes. Names are yours and are never translated.