I agree with La Roche Posay items which are excellent and all the previous comments. Since falling and skinning my leg so that I needed a skin graft, I have also been introduced to Hydromol ointment which can be used to both wash and rub into dry skin. You can get a big tub from Boots/pharmacies (might need to order the big size) which lasts for ages and not expensive. I have also used Dove baby wash and Nature’s Best coconut body butter when skin not quite so bad, also had Oilatum Bath Oil prescribed previously and added a few carefully chosen drops of aromatherapy oils into the same bath water. The trouble with the very oily creams and washes is that you may make your bath or shower tray very slippery so be careful!
My skin has been extremely sensitive since starting Immunotherapy with psoriasis type patches and extreme itching for which my Oncologist has prescribed an antihistamine and a steroid cream for the psoriatic areas both of which have helped a lot.
I hope you find something which suits you and will help. Best wishes.