What do I do when I encounter a coyote or bobcat?

I live in the mountains, 20 minutes from town. I’ve got elk, deer, bobcats, and coyotes that’ll walk the property now and again. I was thinking today about how I’m supposed to react to a wild animal like a bobcat or coyote when I’m taking the dog for a walk. My instinct would be to grab the dog and hold him over hy head. He’s half chihuahua and half weiner dog, so he’s small.
What should I do if this encounter happens?