Lois, fingerpicks like these would protect your skin. I use metal ones like them for the autoharp. You might not be able to strum in both directions with them, though.
The new skin stuff Ken speaks of is the liquid bandage that you can find in any pharmacy. It's a good product to keep around anyway, should you ever get a cut or nick on a part of your body that moves a lot. You can continuously apply more and more as it wears off. My cousin's cello teacher told him to put it on his fingertips when his fingers were worn out from playing so that he could play some more. I use it regularly, but for medical, not musical reasons.
Dusty T., Northern California
As a musician, you have to keep one foot back in the past and one foot forward into the future.
-- Dizzy Gillespie
updated by @dusty-turtle: 01/15/17 01:38:58PM