First, practice all the levels while you're earning the Hard Mode and Original Mode achievements, then use Easy Mode to get this one.
Take it slow. If you die, hit the Windows button to exit the game, then re-load the game and continue where you left off. It doesn't remember that you died if you exit and re-start so you can earn this achievement pretty easily with a little bit of patience. The levels are not that difficult on Easy Mode, but if you fall into a pit or get bit in half by one of those sandworm-type-things in the last level, it'd be very frustrating to have to re-play all of the levels again so just exit and re-start to continue earning the achievement.