lol I never chase anything away, even nessie the snake and the copperhead, and the deer and the groundhogs that live under our garage, the rabbits, squirrels, chipmunks, even the mice, etc etc etc Anything that moves in can stay (no mice in the house though), but I still don't care for the cowbirds, they come they go. The starlings come in droves, the herons still fly over, but never stop since I put up the pond nets.
Everything is prey or a predator, all part of life. I supply food, a place to live, water to drink then you are on your own. Even the plants are prey to some of the critters,