How to remove dead skin cells from a child's face~~

Now that the sweltering summer has passed and the cold wind is starting to blow, I can see white, flaky skin peeling off my son's face.

I wash my face thoroughly and apply lotion consistently, but dead skin cells are still flaking around my mouth and forehead.

I think dermatologists give out moisturizing creams, so is proper moisturization really the only solution for dead skin cells?

If I go to the pharmacy, is there anything like an ointment that I can use safely?