As stated above, you must tube them out. Hang them by thier hind legs, find the color break between the lite belly hair and the darker back hair on the back of the hind legs and use that as a reference, cut around the upper leg, slice down that line between lite and dark hair to the anus, use a tail stripper to strip the bone from the tail, and start pulling the hide down over the coyote, like a sock. When you get to the ears, cut enough of the cartilidge to keep the ears on, and must keep the eye lids,nose, and lips in tack. If ya do it quick enough, you won't even notice the fleas

If you don't like fleas, you can put the coyote in a trash bag and bomb the bag with flea spary, let sit for a few hours, then skin it.