Lately, my face feels tight after washing it. What are some ways to moisturize?

In the past, even in the middle of winter, my face never felt tight or wrinkled after washing it.

Maybe because it has gotten so dry lately, when I come out right after washing my face to moisturize

My face feels very tight, so I'm worried. When I look in the mirror, I see that I have a lot of wrinkles.

I thought it might be because my skin has gotten very dry, but my T-zone and forehead are actually quite oily.

I'm worried about having a lot of wrinkles around my eyes. What kind of moisturizer should I use to keep my face from feeling tight after washing it?

I apply lotion right away to take care of it, but I am worried because the area around my eyes and nasolabial folds is very dry.

In this situation, what moisturizing methods and cosmetics should I use to maintain hydrated skin around the eyes?