Extremely cracked fingers. Old female.

My fingers are cracked and extremely dry. They get so cracked that they burn and bleed, This is only on my left hand. The lotion I use is for eczema and it only works if I put a lot on before going to sleep. Then they feel like the pads on a cats paw. With no fingerprint. I have noticed it only happens before and after winter months. I don't think it's any kind of soap causing my fingers to get like this, or having my hands in water. Only my left hand gets this way, and my right hand is fine, visible fingerprints. I cannot see fingerprints on my left hand for they are either pad-like (like the pads on a cats paw) or extremely cracked. The way it currently appears, it's pad-like with cracks on top. I have mild psoriasis on my scalp and spots on my back, so I am not sure if this could be some type of psoriasis or not. It's very unusual and it only began last year just before winter months and after, now I'm noticing it is happening again during the same times. I am a 20 year old female.