In winter, your bath or shower water should be tepid, not hot, since hot water inflames the skin and increases moisture loss afterward. Apply a moisturizing lotion right after bathing while your skin is still damp.
A simple but effective way to relieve dry skin and winter itch: completely dissolve 1 cup of salt in a tub of water and bathe as usual . For a more luxurious bath, try sea salt. Bathing in salt often works better than using expensive bath oils, but if you really want to use oil, a plain mineral oil will generally fulfill your needs.