Should I let my psoriasis stay dry or moisturize it to clear it up? It seems to get redder and swollen with lotion. It is on my hand

Moisturize. Moisturize will help psoriasis on hand, although the effect will be slight. Additional measures include prescription creams and ultraviolet therapy by uvb or excimer laser. This can help put the psoriasis into remission.
Let see if can help. It is better to keep the hand moisturize to help heal this condition.