There is a great product called bio oil. cant remember how much it costs but is great for areas like your boobs (a tiny bit goes a long way). I have really sensitive skin as well and use cetaphil moisturiser from the chemist. It has no extra additive stuff in it as feels great when u put it on. Only about $7 a bottle. You can get bigger tubs for your body. The bigger the tub the cheaper it beccomes. Hope this helps. Drink heaps of water and try and stay away from electric blankets and really hot baths/showers. If it doesnt get any better, go to a beautician and have a full body exfoliation and moisturising wrap. It might cost a little bit but it will be worth it. You deserve to spoil yourself!!
Hope the itching goes away soon.