Hi,
I think you may have a slightly rougher idea of "pulling the skin off" in mind than we do Lisa.
I basically use the pad of my finger to rub at the edge of the stuck area (starting at the end closest to his nose) till it begins to lift misting with warm water from a plant sprayer ( they still hate it even when its warm) as neccesary and sort of rolling it back like a sock. Not much actual pulling goes on at all really.
If you encounter a bit that will not lift easily then try spraying again and if that doesn't work I either soak or use the pillowcase and simply try again afterwards.
dr del