My skin really doesn't listen to me

Lately, maybe because it's winter, my skin really doesn't listen to me. Oil stays on the surface and the inside feels tight, so it's stressful because it feels tight right after washing my face. No matter how much cream I put on, it only lasts for a short time and after a while, it dries out again. That's why dead skin cells come up when I put on makeup and base makeup doesn't go on well. People around me say it's because I'm lacking moisture, but I don't feel much of a difference even when I layer toner and essence. I drink a lot of water, but my skin still feels dry. It's frustrating because I keep having this problem every winter.