We had quite a problem where I live (near LAX), and had a community meeting about it over a year ago. Pleonast has it about right – keep all food sources inside, watch your pets carefully if you walk them before dawn or after dusk. But the animal control officer said they were NOT killing the coyotes, because they could never eliminate them all, and once you get rid of one group another moves into that empty niche.
One of our dachshunds was almost snatched in January or February 2017. My sister was walking her around 4:30 am before she went to work. They were both standing under a bright streetlight, and Shanni (dog) was right at my sister’s feet. The coyote came up from behind and made its attempt at a snatch. Fortunately, my sister didn’t have to fight a tug-o-war (as a few of our neighbors had to do), because after a recent surgery Shanni was wrapped up. Due to her cylindrical shape, the traditional bandaging was not working, so they put on a stretchy textured tube. The coyote got its teeth momentarily stuck in it. With the delay, my sister picked Shanni up and yelled at the coyote who took off down the block. It turned back a couple of times, so she yelled at it, and it kept going.
Sadly, a few neighbors’ pets weren’t so lucky.