After reading all these contributions, I thought I oughta offer mine too.
I use pre-cut patches. If you cut-at-the-muzzle...all this goes away.
I must be one of the odd-balls here in that I don't see a need for power tools, hammers of any size, or any other schemes to modernize and mechanize the production of shooting patches.
Frankly, I enjoy producing my pre-cut patches. I cut a strip of appropriate width from the bolt of material I'm using, then proceed to draw appropriately sized circles on it, using the bottom of a pill bottle for a template. Once that's done, I cut in between those little circles producing a small pile of little squares. Take each little cotton square and carefully follow the circular line around with my nice sharp LEFT-HAND scissors ( best Christmas Gift EVER..!!) thusly producing one round shooting patch. I know...I know...they don't NEED to be round.
Set that one on the bench, pick up another of my little squares and repeat the process.
With my radio playing quietly in the background...this is a surprisingly relaxing way to spend some time. To a casual observer, I probably look like some "crazy old guy sitting in the corner with scissors...humming old songs with a silly smile on his face"...but that might apply to a lot of us here so I figure I'm in good company.
It's almost addicting, in that I sometimes find myself wanting to just go in the office and cut patches, despite the fact that I have waayyyy more then enough for the next coupla months of shooting. I only shoot about 100-120 rds a week, year round, so as you can see...I don't need much.