Licensed nail tech and educator here. Get a mix of oils you may have on hand (jojoba, sweet almond, avocado, sunflower, safflower, and grapeseed are the top of my long list), and mix in some salt (if cuticles aren't cracked) or sugar (if cuticles are cracked), and scrub the mixture in little circles around your nail beds and cuticles and entire hands. Best to do it before bed every night, because the oils will have a chance to penetrate and not be washed off, etc. By all means, if you can sleep w/ gloves on, do it, to keep the oils off your face if you are worried about that.
I use a mix of oils and brown sugar to wash all but pits and privates every day, and have little need for lotion, and am SCALY from tanning right now in the winter weather.
Let me know if you need any other help. It would help if you did the scrub when your hands are softened from water (shower, bath, dishes, etc.).