Cleaning should always be done top to bottom. That way, any crumbs or dust that fall to the floor while you're working get picked up last. And believe it or not, there's a right way to sweep.
Pick the Right Broom: For indoors, choose one with finer bristles to pick up smaller dirt particles. For outdoors, go for stronger, stiffer bristles, which work better to clear porous surfaces.
Get Swept Away: To sweep, hold the broom like a canoe paddle, with one hand on top of the handle and the other toward the middle. Push your hands in opposite directions to get the most out of every sweeping stroke. Sweep from the outside in so that you don't miss any spots, and move the dirt to the center of the room, where it will be easy to pick up.
Super Storage: Store brooms with the handle down. It makes them easier to find and protects the bristles.
Banish Dust Bunnies: Pick the proper dustpan. Minimize that annoying line of dust by choosing a dustpan with a rubber edge.