Actually, yes I do.
I don't kill things. Rats, mice, snakes, coons, spiders...whatever. I choose to let nature take its course. By relocating them to a forest on the outskirts of my neighborhood, I leave them for the hawks, owls, and other natural predators to "take care of".
As for your...
I purchased a small trap on Amazon for $25. It works like a charm. You can exterminate the mice/rats or you can, like I do, simply relocate them. The trap is very effective and I cleared out two dozen rats in a couple of weeks. If we see any (usually at night) then the trap goes back out. Works...