I technically live in city limits. I fire a rifle out here, I'd better be shooting coyote or snakes - or a human coyote. The neighbors wouldn't call the cops if I have a good reason (I just have to dispose of the body myself)
But the feral cats (now numbering 4, all fixed) hunt the rodents I don't have time to deal with, and keep snakes out of the unfenced portions of my yard. I use dog-proof rat bait stations, one in the shed, one in the pond area, for the fenced yard. I have a couple of really large dogs, but they sleep In at night.
The possums, I have accidentally live trapped when I was trapping ferals, if It's a hungry winter I'll thunk one on the head and cook it. the main fence needs a touch of repair today, but unless critters are coming in airborne or along the top, my hens are safe. And the skunks are why I keep the main fence in good repair. I've never seen a coon in my yard, a rottweiler and german sheperd/border collie mix are a heck of a coon deterrent.
Hawks, I watch out for. Run is roofed, when I see the hawks hunting the area, I pen the girls.