My Plott hound did the same after a coon. Canines are very smart like cats when they want something theres no stopping them, other than extinguishing them.
They are likely to go after poultry 1st. They will go for other livestock. We live on a ranch so we have seen and been through a lot. I finally had enough and decided the coyotes had to go. I started trapping and hunting. The only reason they got killed was that its a large pack. If you knock...
Coyotes will clear a six foot fence. Been there done that. You have to have a sturdy roof on it.. Also, they will chew through chicken wire or any thin wire fence.. I would suggest snare or trap. In my case, in my state, you can shoot year round to protect livestock. Hope you get it figured out.