You'll never be able to kill them all. The western US has been trying for over 100 years through bounties, poison and mass slaughters. Furthermore, coyotes have the ability to alter their litter sizes to change depending on resources and competition with other individuals. If there is decreased competition (lower coyote density) in an area the next litters born will have many, more young. To stabilize or slightly lower the popoulation 70% of the animals must be removed yearly! Tell me thats feasable. Studies have shown that high coyote densities actually regulates their numbers better than intensive harvesting. Removal of a few problem individuals, and their learned behavior, will prove the best technique. Besides, who cares if they sometimes feed on deer. Black bears, avian predators, cats, dogs and fishersfeed on fawns as well.