When my husband starts peeling (and I expect him to start peeling again in about 10 days or so, he’s going to the lake on Sunday) I simply sit next to him on the couch, tweezers in hand, and start pulling off the dead skin in long strips. This amuses me and annoys him, so it has a double benefit.
If you have no spouse or SO with a tweezer fetish, there are these bath gloves that most drugstores carry. They’re one size fits all, and they will gently remove excess skin. But you can’t have MY pair. These gloves are great for people who tend to get ingrown hairs, too, by the way.