We live in so. cal, we have a den about 20 ft, from the back of our house. We also have an outdoor cat. And yes he is still alive and knows they are there. When I jog I have literally run into coyotes, most shy away. Pets are easy prey,. If you dont want the coyotes, get a bow hunter to dispatch them.
The modern compound bow is the basic answer to many of these problems. Everybody on FR should own one and know how to use it.