You need to compensate for the lack of humidity in the air to make sure that your skin doesn’t become dry, chapped and red during winter.
The best way is to use hydrating skincare.
Wash your face with a non-drying face wash (ideally one that includes Glycerin). And moisturize your skin a lot! Again Glycerin is a great ingredient, but also look for a moisturizer which includes Hyaluronic Acid. This will hydrate your skin deeply, but won’t make it feel greasy at all.