Many people trap, some poison rodents or varmints. I prefer live traps and air rifle (or pistol). I've live trapped, Rats, Mice, Raccoons, Cats. Dogs. Blackbirds and Squirrels. I've killed a boatload of Rats and am currently working on Nutrias. Live traps and air rifles are neat, you can let loose whatever you don't want to trap and you can pick your shots. After many years of trapping and air gun hunting, I've accidentally killed one unintended bird, a Titmouse, that got smashed by the falling door in a live trap.
I detest poison, it is indiscriminant.
I kind of understand the posters revulsion about indiscriminately shooting animals. I also understand the love of hunting, it is IMO genetic. Some people have more hunting drive than others. It is up to us to teach responsible outlets for the hunting drive that is strong in some people.