The itchy skin that you are having is due to xerosis. Dry skin results when there is not enough water in the stratum corneum for it to function properly.
The mainstay of management is liberal use of moisturizers after washing with luke warm water. Soap should be used minimally. Moisturizers should be reapplied liberally during the day.You can also use a topical cortisone (steroid) cream or ointment like dermacort(hydrocortisone). Adding a humidifier to the central heating system of your home or using a humidifier also helps.
If still the symptoms persisit then possibility of eczema or atopic dermatitis,psoriasis, ichthyosis (fish scale-like skin) or pitted keratolysis is there.Pls consult a dermatologist and get them ruled out.
I hope that helps. Please do keep me posted on how you are doing or if you have any additional doubts.Warm regards.