For dry skin of hands and feet, use good quality moisturizers to prevent moisture loss from the skin. During the day, hydrate and protect hands with a protective and moisturizing cream. At night, repair them with creams formulated from glycolic acid—a must for improving skin texture and tone. If still the symptoms do not improve then please get a clinical examination done by a dermatologist.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your dermatologist. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.
if you could suggest some names of those good quality moisturizers, that would help me quite a lot.
You can any good moisturizers like Cetaphil or Aquaphor and use it. Even moisturizers like Vaseline are good for dryness of hands and soles.
I hope it helps. Take care and regards.