Dry/flaky hands

I've tried moisturizer before a couple times but it didn't really seem to help, and the issue isn't after work, it's that even if I come in with perfectly fine hands they're peeling and flaking like crazy even after an hour. To make matters worse I work in a hospital kitchen. If I just wear gloves, I'll be going through tens of tens of pairs a day changing them every time I touch anything. I try to be really conscientious about cross contamination/contamination in general.

I'm not a cook, so I'm not directly touching food (and if I am obviously it's with gloves.) But I do assemble trays and the thought of my hands 'shedding' all over them is fucking gross even if they're sanitized to hell and back. I try to 'exfoliate' my skin with paper towels etc every time I wash my hands, but when I rub my fingers together hard and fast it's like snow. I've never seen anything coming from hands->tray but this can't continue. What the hell is going on? How do I fix this?