White dead skin cells on my legs...

Now that autumn has arrived, I am worried about the white flakes of dead skin appearing on my arms and legs.

I've tried exfoliating shower gels and I'm diligently moisturizing, but the relief only lasts while I apply the moisturizer, and the skin soon starts flaking white again. It looks bad and bothers me... It's the same on my arms. I apply moisturizer frequently, but I want to know a fundamental way to get rid of it.

If you know of any exfoliating products or moisturizers that soothe flaky skin, please share them!