This is something i did or made for the same question.
The trick is during the skinning process, don't cut the head off.. That makes it harder.. lol
Sorry,..
WHne you are skinning, and you get it down the high neck and almost the ears.. Pull and pull like crazy, use your weight.
The skin will pull down and expose the ears. use a knife to skin the ears out seperating the cartilage and the flesh until you have about an inch then go back and cut the cartilage at the base. (very usefull later)
Keep skinning until you skin to where you think you are about to get the eyelid to pop out, then do the other and finsh the other eye first, then come back to the first one and sking around the mouth. Try and get all of the lips. (it doesn't matter if you do, it's just practice for when you get one that you want to mount later.
when the lower jaw is skinned to the k-9's cut it off.
Skin out to the nose and then seperate, and put it in trash compactor bags.. Trust me, use these. They don't leak and you can spray flee spray in there, and tie it closed and put it in the freezer and not worry about leaking.
Then when you are fleshing, only cut off any larger than the rest chuncks of meat off the face to the ears.. The thin meat is fine. Leave the lips alone and get the extra catilage out of the nose so it feels thin.. Then use a pair of pliars like i do in the video to just pull it out... done (this is why i skin out and leave an inch of cartilage in the skinning process. Make sure to take that small flat plate of cartilage near the ear off and flesh the rest of it.
just remove the fat and meat.. should only take about 10 min. any more than that and you are wasting time.
make sure you wash and brush them first. Sewing holes is teadous, but making more holes that didn't have to be there, is annoying..
Good luck and it takes practice.. Keep doing it to the coyotes, that way it doesn't matter if you make a mistake and you will be good at it before you get or try a cat..