I use a makeup remover by Gemey Maybelline, it works great. In my country only sephora sells these, so i don't know which brand to suggest, but if you could get the nail polish coming in a pot with a foam inside, that's the best stuff ever. The foam is loaded with polish remover and one swipe gets rid of it.
If all else fails, as an ultimate last resort, i use pure acetone and wash my hands carefully just after.