Please tell me about shampoos that remove dead skin cells or scalp care methods!!🥲

Lately, I've been getting frequent dandruff on my scalp and itching really badly, so it's really bothering me. I think it might be because I wear a hat often.

Even though I shampoo every day, my scalp feels stuffy, and my hair seems to be getting oilier than usual. It's also falling out easily.

By any chance, has anyone had an experience like this and found any scalp care methods effective?

Recommendations for dandruff shampoos or soaps would be great, and please share any routines you usually follow!!!

I have a particularly sensitive scalp, so I want to avoid anything too irritating. Please let me know if there are any easy scalp care methods I can practice at home!

I am desperately looking for a scalp care method that can give me a clean scalp free of dead skin cells.