From your description you have Xeroderma or dry skin.Usually symptoms worsen in winter.It can be very easily by applying Vaselin over your skin as the vaseline acts as a barrier which prevents your skin from becoming dry.If the condition is severe you can try taking one part of whitfield ointment(you can get it in a medical store) and mixing it with 5 parts of vaseline and then applying it on the affected area for a week in the evening(it stings a bit).after a week when your skin looks normal apply vaseline to the skin to protect it from drying

Your might be suffering from atopic diathesis or a simple dry skin. This gets aggravated by environment you work in. It might be the air conditioned rooms or also cities where climates are very cold and dry in winter. Use emollients liberally twice daily. once in the morning immediately after bath and once at night before going to bed. Avoid hot water baths , use lukewarm water. Take plenty of water for hydration. while going out use full sleeved clothes.