There are plenty of coyotes around here but we don't have any troubles with them. They generally don't want to be where humans are, however in the dead of winter when food is scarce they do make exceptions around here.
The areas where we are regularly have never seen any coyote activity, we only find prints and poop in the places on the property that we rarely are.
All our goats get shut in at night, but our ducks and some chickens run free all the time. The only trouble we do have is a sly little fox that we have been trying to trap now for a month.
This will sound gross but we have found that male urine seems to help. Yep that's right, get some men to pee around outside. Not sure why, but it works for us.
Keep in mind though that animals are conditioned to their location, surroundings and experience. The way my coyotes act may be completely different from yours.
Best of luck to you!