hi..thanks for your query.
The symptoms you mention , point towards a keratoderma
happening on your fingers.There can be several causes for it.It can be familial in some cases, whereas it many be due to a particular skin disorder.For e.g..psoriasis
can be one of the causes of the same.There might be associated nail changes along with ,like splitting of nail, pitting of the nails,thickening of the nail beds etc.
It is essential to visit a dermatologist
to correctly identify the above .till then, you can apply a thick emollient
on the affected areas to prevent them from fissuring.Ensure that each trim you wash your hands, you immediately apply the same and repeat the application several ties in the day.
hope this helps ..take care!