II don’t mean to be rude, but I’m pretty sure somebody else posted saying not to set the trap until you have a way of dispatching the animal. By relocating it, you’re not solving the problem, you’re just moving it somewhere else for someone else to deal with.
I don't know where you all live, but in my county there are many areas where an animal could be relocated to that would give it the same type environment without houses nearby with chickens and other small pets to worry about. I haven't had to do this, but I would think moving one would be fine. My problem with it is, this is early summer. I was going to trap and relocate a young raccoon, but I researched it first and found out it needs mama for 6-8 mos. I'd have to wait until October at least. By that time, my dog will have sufficiently discouraged it from coming in the yard. Of course no one gets any sleep around here when she smells it in the middle of the night. She's out the door in a flash and barking up a storm. LOL but, that's a better problem to deal with than a raccoon trying to get into the chicken coop.