Not long ago, I think in Oregon, there was a cougar who attacked a jogger on a path around the college. Right in town. Killed him and ate him. Then attacked the police as they were looking for him. Cops shot it, but still too late for the student. It was in Net Geo.
Isn't it nice to get out there and know that you may be ready to hunt, but you still aren't at the top of the food chain? The cats coming back is a good sign. Healthy predator populations means healthy prey populations. Now all we have to do is be responsible about hunting kitty like they deserve so they don't disappear again.
As for Mr. felis concolour wandering the suburbs, it's like bears in town here. Don't make attractants available. Be smarter about your pets, your trash, what you do in relation to the animals. It isn't tough.
When calling coyotes, more often than not they will circle on a target they are
coming into and approach from the downwind side. Presumably they do this in
order to align what they smell, with what they are hearing.
This means that you should always have your downwind side camouflaged and have
an open shooting lane. If the area is heavily covered the coyote could come in
take a look and be gone, with you none the wiser.