Try this
Have an ice chest full of ice add a little water and immediately put fresh caught cat in it. Let chill a couple hours. I purchased:
http://www.cabelas.com/cabelas/en/templa...ll&N=4887&Nty=1
The first order of business with the knife is to run it over some plywood to dull blades. Once this is done the skinning process is much easier. It doesn't take a sharp knife to filet and skin cats! With a little practice it's a 45 sec. per fish process. Cats are hard to skin fresh, much easier when chilled with a dull knife. Learned this from a Canadian boat captain in Costa Rica. Observed him take a new knife out of package and "dull the blades" for a full minute before proceeding to clean 9 tuna and 30+ chicken dolphin. We all went to a "Soda" and they grilled with onions, bananas, fresh pineapple and served with black beans and rice. We fed 3-4 families at the 'feast'!

edit
After the initial filet is made, flip it over and keep knife almost parallel to table and pull skin gently to knife.