When handling polyurethane, always use gloves made of chemical resistance. Mineral spirits, followed by moisturising lotion, baby oil, soap, or peanut butter, can be used to remove any sticky residue that does end up on your hands. As a final option, use acetone or paint thinner.
Put mineral spirits on
Use a shop rag dampened with a little amount of spirits to clean your hands after gently rubbing solvent over them in a ventilated area away from open flames and over an empty sink.
Clean your hands.
Wash your hands with soap and warm water right away. To dissolve the sticky polyurethane, try Dawn dish soap. Dry your hands after rinsing them.
Try different approaches
Try applying peanut butter, baby oil, or moisturising lotion to any remaining sticky areas on your hands. Like you would with soap, lather them. Rinse once more in warm water and dish soap.
Your hands may get dry after the polyurethane has been removed from them due to repeated washing. To soften the skin, rub some hand cream on.