Check the regs where you live but I know of a set that has worked for me when I had some coyotes and greys gettign into my fathers barn and getting his chickens and rabbits.

take a cage about 3' by 3' and 3 to 4' of the ground. On some type of stand. Enclose the bottom of the stand and leave an opening on one side big enough for a fox or coyote - Like the opening of a dog house.

Put a rooster in the cage and locate the setup on the outskirts of the property - where you think the animals are comming in from. Make sure the cage is Weather proof and give the rooster the food and water that it will need for a couple of days at a time.

Make sure that the Cage part of the setup is concealed so that the Coyote, fox, whatever has to go through the dog door to get at it. But a leg hold trap in the entrance of the Dog door with a guide stick in front of it so that the animal has to step over the stick and into the trap.

Also look around from a coyotes point of view. Find the first pice of landscape that sticks out. An ant hill a woodchuck mound, clump of grass. Whatever sticks out the most to you within about a 20 to 30' radius and place another trapp there with a few feathers or a clump to spike the curiosity of the animal.

You don't want to approach the set any more than needed. Check the set every morning with a pair of binocs. Only go to the set to give the Rooster more food and water when needed. Use one access route - to and from the set and try to wear rubber boots and don't hang around any longer than neccessary so that you leave a minimal amount of scent if any. Bobcats and Coyote can be very skitish when they think something isn't right.

I have had success with this set.

Good Luck

Let me know how you make out with the problem.