I would suggest you contact the Game and Fish Department with the problem. I don't know about any of the eastern states but in the west if you have predator problems there are state trappers that will come out and take care of the problem for nothing. There are also people that do this for a small fee and do it for a living. The G&F may also know some responsible trappers near you that could help out. Not being and outdoorswoman I wouldn't recommend you target coyotes and foxes right out of the box. They are extremely smart and hard to trap. They get educated very quickly and the last thing you want or need is a bunch of coyotes that nobody can catch.