Given that there is a diversity of preference over how animals on home streets are managed (some like them free range, others find this means they always get in the way), I suggest a craftable object that acts like a single-use animal stick, that you can't pick up again, and it stops working after a short period of time or when you leave the street. So you can get the street owner's piggies out of the way while you mine all their sparkly down, but you don't have a long-term effect on how they choose to manage their herd. I'm thinking maybe a potion which you pour on the ground; while it's effective, it attracts the animals to that spot, but it eventually evaporates.
Couple of things I can't decide on:
1. How this should work if the street owner has already placed a stick for that type of animal on the street - would it override it?
2. Should this only work on home streets, or would it be ok for it to also work in Ur?
ETA: now that we have a couple of other ways of achieving this suggested in comments, I have edited the subject.