Great Pyrenees are good dogs to keep watch over a flock, but sometimes they tend to wander. So you might not see them for a couple days if they get out of your yard area. I've hunted coyotes for years using distress calls and had a lot of success. But it seems that when trying to control the predator population with hunting is a 50/50 chance. It almost seems like the more you shoot, the more that show up.Trapping is very difficult, live traps are expensive and you have to decide on how to dispose of the carcasses. Leg hold traps can be dangerous to pets and children since they are set on the ground. If the trap can hold a wild animal, a curious child that happens across one could be seriously hurt. Fido won't be too happy either. And again there's the disposal issue. Coyotes carry all sorts of parasites and disease. I agree that when coyotes are brazen enough to pick off your chickens at all hours of the day or night. A shotgun with a heavy load of #2, or #4 shot like what I use for wild turkey hunting is very effective when shot through an extra full, or full choke barrel out to approx 50yrds. Also a .22 magnum, or the .17 hornady magnum rimfire are good choices if you're fairly proficient with a rifle. Both have very little felt recoil, and I've shot coyotes out to 300yrds with the .17HMR. It's an excellent little rifle that anyone can shoot well with some practice. Also for the Ladies, the bullets for the .17HMR are really cute as far as bullets go. Lol. You could make a kool pair of earrings out of a couple of them. But getting back to protecting your flock. The very best way I've found to keep coyotes away is by adopting a Burro. There are wild burro adoption programs that cost very little. Burro's are social animals and get along well with other animals, but are very aggressive with coyotes. If you have dogs, they're ok once they get used to each other as long as your dogs don't take to chasing them around. However, only one burro is enough. If you have 2 or more then they'll just herd together and be less effective. If you get a pair, then get ready to have lots of burros over time. They live forever it seems like and every time lady burro comes in season you can start counting on having another. So one burro is plenty, they're very low maintenance, easy to train, and will keep coyotes out of your chicken yard or area. Also, they produce copious amounts of fertilizer along with the chicken poop. Well, I've made a short story very long, but I hope all this dribble helps. It's impossible to eradicate coyotes, so the next best thing to do is let them know that there ain't no free chicken dinners at your house. Good Luck, n God Bless