Maybe you can add a way to change the mounts/pets you have in your home in the future? in case users wants certain ones at home.
I understand but the only way for that to work if the way you get them in a chance encounter is if that encounter can be repeated. If you can obtain by taming the creature then yes that makes perfect sense however like with the horses that's a chance encounter and the guy says the rest he'll deal with. Meaning there gone hyao would have to come up with something to counter this like idk maybe they release the horses and they come to your house and you can take one? Or you can buy the new horse and sell the old one to the shop dude that's on the road.