How do you take care of your scalp during the dry season?

Now that autumn has arrived, I'm losing a lot of hair again.

I heard that a lot of hair falls out in the fall, and sure enough, that's the case.

With the cold wind blowing and the weather getting dry, I think my scalp might be dry too, as I seem to be getting dandruff.

How do you manage scalp exfoliation? I feel the same way, but when I wash my children's hair, I notice a lot of dead skin cells on their scalps as well.

Please recommend some good exfoliating products or effective dandruff shampoos.