if you have a pet donkey, your donkey will follow you around and pester you to pet it

Indeed. A couple years ago we visited some of Jenizie's relatives north of Seattle, and they have a hobby farm. Through no fault of my own, I quickly made friends with their donkey, and he did exactly that for the next hour as we wandered around the place.

Yanno, though, you might be able to get a small pony. Just a few weeks ago I saw a neighbor walking a Shetland around the block along with her large dog. The dog, in fact, was larger than the pony, and less well behaved.