Difference between hands and feet and back of hand in Korean
손발·손등

손발hands and feet
The word (손발) means your hands and feet together. People use it when talking about simple actions like washing, moving, or drying them. It is a common everyday word for body care and movement.

손등back of hand
손등 means the outer side of your hand, not the palm. People use this word when talking about washing, hurting, or putting something on the hand. You will often hear it in simple daily situations like skin care, small injuries, or showing your hand.
The difference
손발 means both hands and feet together. 손등 is just one specific part of one hand.