Thee's a good bit of stuff in previous threads; try the search feature. Also,k there's a lot of stuff in archived posts at
http://www.varminter.com
Okay. If you hunt at night, you'll need a scoped rifle, of course.
Calling: You can use any mini boombox, with tapes of, say, cottontail rabbit or "dominant male". If you can wire a speaker with maybe 50' of wire, you can sit back from the sound. You can control the length of calling, as well as volume...
Set up at the edge of a wooded area, overlooking an open area. Watch the wind. Coyotes may come in from any direction, but they will circle and approach the "bait" from downwind.
If you can shoot a rabbit and set the carcass by the speaker, it adds to the allure.
Use of lights: Don't just keep shining around, all the time. Call a minute or so. Sweep the light around and then turn it off and wait. Repeat the sequence. Keep the beam sorta high, so only the edge picks up their eyes and makes them glow. If you spot a coyote, don't shine the light directly in his eyes. If the range is within 40 yards or so, you don't need more than a standard three-cell flashlight.
You can also start a bait-point for daytime hunting. Just keep putting food scraps out in the same place, until they get used to coming to it.
Coyotes learn quickly. If you miss a shot, the odds are that the coyote will never again respond to a call or come to bait--certainly not in daylight.
They'll be more active after sunrise in the morning or before sundown, when the moon is getting full. During the dark of the moon, they generally operate more when it's well after dark.
I use a mouth-blown call quite a bit. If you get one, just try to make it sound like you think a wounded small animal would. It's not real critical during the "education" period of the coyote pack(s).
So there's a start.
Art