I am wondering if you have excessively dry skin?

The Bag Balm suggestion by Nide is great! This product is even sold in stores that sell sewing supplies!

Excessively dry skin will give odd sensations. And when this occurs on the hands and feet, that may signal a deficiency of essential fatty acids (Omega-3).

People who over use alcohol hand disinfectants, who are printers or who do alot of car repair, or even masonry work (lime), can defat and damage the skin.

Some find that good old Aquaphor helps. Or Eucerin products which contain the Aquaphor base, can help too.