If you don't have the original box, take the wig off and stuff it with clean paper to keep it from losing its shape. Store the wig separately. If the head is custom, take it off and protect the face. Wrap the doll in some clean plastic or a bag to prevent any stains, then cover it with a towel or bubble wrap. Make sure to pack her snug with padding, but don't put anything heavy on top. When you're in the car, keep her on top so she doesn't get damaged
How are you planning to move? Any worries about space or packing