My right hand fingers (middle, index) skin are always peeling and dry. It doesn't hurt or anything just sometimes itchy. It's been like this for months. A few days ago I start to notic my thumb tip skin is also peeling and now it left a blister on my t?

Dyshidrotic eczema. Without seeing it you probably have chronic hand eczema. A very common skin problem associated with chronic exposure to certain soaps or other substances or with frequent hand-washing,just to name a few. If you can identify something like that avoid it or use gloves during exposure. Barrier creams can help retain moisture. The treatment of choice is high potency steroids; you may need a script.