STOP the madness and trapping, killing and/or relocating and instead just better secure your coop/run!!!! I trapped and killed my fair share and realized that it's an endless process, not to mention predators kill and eat other predators, i.e. raccoons and possiums eat rats and snakes. Once I put up hardware wire around my run, I haven't lost anymore chickens and I stopped having to deal with hassle of trapping and killing.
What are you going to do when you catch a skunk and then get sprayed? What if you catch something that has rabbies and then bites you? How fun will that be? If you read all the posts about predator problems, the vast majority are always due to poor coop/run construction. People using chicken wire (like me), forgeting to close a door, or letting the flock free range, or not having a covered coop/run, it's always the same crap. If the predators can't get in during the night, they'll move on and go find something else to eat that is easier to get.