Cleaning is a war. A small, plastic war.
Cleaning a house is like a game of Risk. You start small, clearing off one piece of furniture in one room. Gradually, you expand your boundaries, taking the war against entropy to different territories (perhaps a desk, a bookshelf, or a dresser.) Soon, you can move your plastic armies of cleanliness to different rooms, forcing the disorganized enemy to pull back. Eventually, you will conquer the entire house! Best of all, the whole affair takes place independently of dice, alliances, or Risk cards, simplifying matters greatly.
Just avoid getting yourself stuck in Australia.