I am not actually condoning this, but our dnr rides down forest service roads and chunks kitchen sponges soaked in bacon grease out the truck windows in areas where pets are unlikely. The coyotes eat the sponges and die, eventually, of an impacted intestine. It is a very cruel way to die.
The way I have done it is:
In areas of our property where I do not have much worry about pets, set a 5 gallon bucket on its side with food in the back, and set a 330 conibear in the mouth of the bucket. I have to get a special permit to set a 330 above water, and had to do it in an area less likely to attract birds of prey.
Other than that, we never went anywhere outside without at least a pistol, and preferably a rifle. We carried rifles in every truck, and every tractor. We made it to where we were never unarmed if we saw a coyote.
Then we started getting road kill deer and strategically placing them where we had a concealed approach to a good position to shoot from. Come back at night, sneak in, listen to make sure it sounds like there are several feeding, hit the light and empty an AR-15 into them. I preferred a laser illuminator to a spot light, it doesn't spook them as quick. Unfortunately they get smart to this real fast.
None of these methods worked to actually eliminate the coyotes, and only to teach them the area is unsafe and they move elsewhere. Eventually others move in, and have to be taught as well.