Cold air outside is rarely the problem. Central heating dries the air indoors to the level of a desert, and skin loses water to it all night, which is why faces often feel tight in January even after a mild day.
What helps
A richer moisturiser at night, a humidifier in the bedroom and a gentler cleanser do more than any treatment for most people. We also pause stronger peels in the coldest weeks, because skin that is already dry takes longer to recover from them.
Skin boosters suit the season well. They hold water in the skin from the inside, so a course started in November carries through to spring.