I have had a few experiences with archery coyotes. I have managed to get one dog, shot at two others but did not have very good shots. The key is to take whatever shot they give you. Several times I have waited to shoot for a broad side shot, but got winded before they could get broadside. Just a week ago I had one at 20 yards quartering to me. I should have stopped him and took the shot as I was at full draw. Instead I waited for a broadside shot at 15 yards. Just before he entered into my shooting lane he stopped, took one sniff and was gone.
The one dog I got with an arrow saw me draw and stopped and tried to figure out what I was. Then he got an arrow to the front shoulder. He went down into a nasty, brushy draw. It was dang near dark, so I came back in the morning and called another one in to 40 yards but missed, then went and found the other.
Archery coyote hunting is a great practice for deer hunting, as it is even harder. The nice thing is it is not a huge deal if you do miss except the fact you may be out an arrow. I will agree with the post above to find cheap arrows and broadheads. I have found the Easton Storm (I think) at $5 per arrow and Carbon express broadheads at $3 a piece to fly well and aren't too hard on the wallet when you loose or break and arrow.
Good luck and welcome to the year round sport of archery hunting.
I talk about coyote hunting at my website and plan to do an article on archery coyote hunting soon. Check it out here:
http://www.bestforhunting.com