Consider that I am really only a marginal coyote hunter but I can offer this much advise. You'll get out of it what you paid for it.
1. In CO the best coyote hunting for me has been from Nov to the end of March.
2. Avoid big game hunting areas during big game seasons.
3. Find a mentor or friend who has some experiense.
4. I would suggest starting out with simple mouth calls like rabbit in distress.
5. If you are looking for nice pelts summer is a poor time to go.
6. I have only hunted coyotes in the summer at night, private land, with lights over bait.
7. Best places in CO to hunt coyotes for me has been the eastern half, but I know the eastern half much better.