CM57,
I used razor blades too, but one time, before cancer, I had an infected abcess, I had surgically removed, from a used razor I kept in the shower too long, so after that I only used new razors each use. In the early weeks of radiation, I used a razor, but soon I didn't need to shave at all as I had radiation bi-laterally, and for a while after that. Check with your doctor as they may say not to shave even with an electric razor or its timing? Somewhere along the line, I started using an electric razor to shave, and still do, but only when I go out formally. No more cuts, infections or other issues from shaving with a hand razor.
I hope this helps!