Cant be worse than where I live, its dry as a bone with dry winds and the most unpredictable weather.
The first thing you need to do is throw all sorts of soap in the bin.
Use a Skin Cleanser instead like QV or Cetaphil for showers, washing face etc.
Wear gloves when doing the dishes or cleaning to protect your hands
Hunt for a very gentle shampoo that is not drying your scalp. That will be a trial and error process as noone can tell you what shampoo will suit you.
Moisturize your skin with oils rather than Brand name moisturizers.
Thanks for info. I need a good shampoo also. please tell some good names.