Now that it's winter, my face feels really tight even just from washing it. Would it be better if I got a skin booster?

Lately, as soon as I wash my face in the morning, my whole face feels tight and dry, so even if I apply lotion two or three times, it dries out quickly again. I used to manage with just a moisturizer, but it seems to have gotten particularly worse this year. White flakes of dead skin appear around my nose and cheeks, and fine lines form under my eyes and around my mouth immediately when I smile, so it bothers me every time I look in the mirror. I've been using face masks almost every day, but it only feels better that day; my skin goes back to its original state the next, which is frustrating. So, I'm looking into skin boosters this time, and I've seen names like Liviheal, Celle Diem, and Vitaran a lot. My biggest concerns are my skin texture and inner dryness, so I'm not sure which one would be right for me. Is this determined based on my skin condition during the consultation? I'm also curious if it will be okay to go to work the very next day after the treatment, and how many sessions are typically required to feel a noticeable effect. Since it's my first time, I'd be worried if the bruising or swelling lasts too long.

I would love to refer to reviews from those who started this with dry skin like mine. Thanks in advance for your answers!