Fair warning, I've never gotten the chance to hunt coyotes, however, bait, distress calls, and those little motion decoys all see to be great ways to bring them in. You've already got a decent idea of their patterns in that area.The biggest issue is that the coyotes are smart and might catch on to you, some populations have even caught on to what poisoned meat smells like, so be ready to change tactics and maybe try a few traps that you check regularly.
For your neighbor, once you get these coyotes gone the best way to keep more from showing up is to hopefully have a resident pack of coyotes move in that leave her cats alone. Coyotes defend their territory pretty well and a well behaved pack will keep problem coyotes at bay. That might be difficult as coyotes typically see cats and dogs as competition, but if they ever do come try to keep those guys around. A well behaved pack is a valuable thing.
For your neighbor, once you get these coyotes gone the best way to keep more from showing up is to hopefully have a resident pack of coyotes move in that leave her cats alone. Coyotes defend their territory pretty well and a well behaved pack will keep problem coyotes at bay. That might be difficult as coyotes typically see cats and dogs as competition, but if they ever do come try to keep those guys around. A well behaved pack is a valuable thing.