A message from the UW Urban Canid Project.
I gather that we are supposed to enjoy the view of coyotes in the neighborhood, but haze them anyway. Hazing doesn't work unless the whole neighborhood undertakes to haze them: yell, throw sticks (but not directly at them?), spray them with a hose (this here is winter, son), keep your large dogs close to you and pick up the punt-ables.
My inclination is to grab the pitchfork and advance. If something way bigger than a coyote comes towards it, that should make it feel uncomfortable, and the pitchfork is handy if it decides to return the favor. And if I'm going to hurl something in the direction of a predator I think the fire pit poker is a better bet than an old branch. (Blazing away is inadvisable when there's a daycare in the background.)
I gather they tend only to be problems when they get used to being around people. Around people you find stray food, rabbits and squirrels taking advantage of bird feeders, small pets, and idiots who feed them. I assume familiarity breeds contempt after a while...