Use a humidifier in your bedroom to increase the moisture levels and combat some of the drying and flaking that's going on. Hot, dry air desiccates your skin, so adding in some moisture slows the drying process.
Take shorter showers, or limit the amount of water that falls on your face during the shower. Turn the water down from hot to warm. All of these result in less dryness to your skin.
Use a gentle facial cleanser or gentle face soap. Continue to wash your face daily, but only with the gentle cleanser.
Moisturize your face after a shower, when your skin's still slightly damp. Use a rich emollient lotion. If you've got zits and dry skin on your face, a non-comedogenic lotion won't lead to more pimples. Also moisturize when you return home from running errands in cold weather.
Hydrate your skin from the inside out by drinking water; aim for eight 8-ounce glasses a day.
Apply a moisturizing face mask once a week. Spread the mask over your skin and let it sit for the recommended time, then wash it off using warm water and a washcloth.