When your face feels stinging because it is dry..

Hello. Every winter, I struggle with my face getting dry and flaky. Actually, since I hardly wear makeup these days, should I say I've eliminated that flaky skin problem on my own? ㅠㅠ The problem is, even when I use products that are supposed to be good for moisturizing, the surface of my skin feels greasy, while the inside feels so tight that it sometimes stings. ㅜㅜ Should I go to a dermatologist in this situation? Is it a problem with skin elasticity? It makes me sad to think I'm getting old...