I keep getting dead skin cells. Will it get better if I get a dermatological treatment?

Lately, my skin feels very dry and dull, and my makeup keeps caking, which is a concern. Even after washing my face and applying plenty of basic skincare, dead skin cells start appearing around my nose and chin by the afternoon. I don't scrub often because I'm worried about irritation, and although I pay attention to moisturizing, I don't feel like there is much of a difference. I feel like there is a limit to what I can do with just home care, so I am considering getting a dermatological procedure. I am very stressed because the dead skin cells make my skin texture look rough and my makeup doesn't apply nicely. I am wondering what kind of procedure would be helpful in this case. If you have any recommendations for treatments that have been effective for improving skin texture or removing old dead skin cells, please let me know. I would also like to know if I can see a change after just one session, or if I need several to see noticeable improvement. Please also let me know if I just need to focus on moisturizing after the procedure, and any precautions I should take; I would like to use this information for a consultation.