Unfortunately some need to be shot or trapped. My brother has been dealing with coyotes in his yard. They get brave enough to attack his cats within close proximity of his home. This happens every couple of years and ends up with him shooting one off his back porch. Then he gets someone to set up some traps. I am going to do some hunting myself back there, they are bad this year.
NebBuckHunter is right about coyotes. My neighbors kids have all always hunted coyotes and I never have any issues with coyotes in my yard, they identify predators and adjust.