The only good Coyote is a dead coyote. In Cape Breton back a few years ago a young lady was attacked and killed by a coyote . So believe me when I say I will kill one with anything thing I have, Don't care if I have to run them over with the truck.
Here in Nova Scotia they are fair game 365 days a year especially if they are a threat to your domestic animals , livestock and/or Human life.
Hardluk1 is right, check local gun clubs or Lands and forest (Wildlife Services) for guys that can help take care of the problem, and whether you realize it or not you have a big problem.
Electronic calls work great, you can call a coyote in and keep his attention on the remote speaker as you are putting the bead on him, Don't know the layout of where you are but if you have a barn with a loft , sit in there with a electronic call out in front of you and they won't even hear the shot (Hopefully). Camouflage yourself
If you are going to try and snare them, make sure you have rubber gloves on when handling the snares and bait. 1 sniff of human and they won't touch as a rule.
Any small children ? Don't let them out by themselves !! myself I would keep a firearm close by .
There has been reports of Wolves here in Nova Scotia, one of the siting's was my brother and Uncle . and the other was my Wife's uncle.