A Thai lady I knew washed them, cut them into fillets (they are unbelievably easy to fillet), and cut the fillets into thick cubes, which she dredged in spiced cornmeal and fried with the skin still on. I could not believe I was eating catfish skins, but they were fine.
Skin it, gut it, cut the head off, rinse it, and cut it into fillets, skeleton slice, and wing-slices (actually belly flaps, but wing slices sounds better). Cut the fillets of a very large fish into smaller sections you can handle easier, and that have more or less uniform thickness.
My grandpa kept a study hook on a door post at the smokehouse. He hooked the fish up by its gills, cut little horizontal slits under the skull line, grabbed the slit edge of the skin with pliers, and yanked the skin off in long strips. Make a little slit at the base of the tailward end of the long fins, grasp firmly with pliers, and yank headward (while holding the tail--trust me on this part). Do not step on any housecats, yardcats, barncats, or feral cats while you're doing this. Do not trip and break your fool neck while trying to step between the cats.
If you have trouble peeling them with pliers, then fillet them, flip a fillet, and slide a knife between the skin and the meat. This is easier with bigger fish.
Wash the meat, salt it, pepper it, dip it in buttermilk, and dredge it in spiced cornmeal (or a fifty/fifty cornmeal and flour mix). Then bake or fry. Do not throw away the skeleton slice. It fries up just as well as the rest, and it tastes mighty good. The tailfin crunches delightfully.
For what you can't eat today, get a quart sized freezer container. Layer as many raw fillets as you can get in it. Fill in the interstices with lightly salted water. Freeze. Thaw these blocks under cold running water when you want more fish.
There are fancy recipes for farm-raised catfish. These tend not to work well with wild-caught catfish, which have a stronger flavor.