This is what I would do. Buy a caller. Your learning curve will be shortened immensely. Hand calls are easy enough to learn to use, and very productive, BUT require a lot more movement and the coyote can pinpoint the sound, and when he does, he'll be looking right at YOU. Familiarize yourself with the basic operation of the caller at home.
Go out in the evening (not morning) about 1 hour and 15 minutes before sundown and set up (wind permitting, relatively speaking) in the spot you have chosen. Just sit there as still as you can. One half hour before sunset, put your gun on the rest and start calling, watching where you think the coyotes will come from, with a view of the downwind if possible. When you turn on that call, be ready to shoot-gun pointed in a safe direction, round in chamber, safety off. Here's one I learned the hard way. If you are calling and call in crows or other birds above you, call for another minute and stop calling. A coyote is probably on the way. If nothing shows after about 10 minutes, call again, intermittently, until you cannot see well enough to shoot anymore. Do not take a shot at a running coyote as a beginner, unless you are an excellent shooter on those kinds of shots. Better to let a coyote walk away than take a marginal shot and educate him. You will kill him another day.
