If you're going to be in your workshop or garage sawing or sanding, attach a furnace filter to the intake side of a box fan. Then place the fan facing away from your project and turn it on. The fan will pull the dust and dirt out of your project area and into the filter.
To clean small crevices, your tools or even your boots and work clothes, point the nozzle of an air compressor at the messes and blast them away. Just make sure you're wearing a dust mask and safety glasses before you start.
If you're sanding drywall, pick up one of these screen sanders that fits on a vacuum hose.
The tool allows the vacuum to collect the dust as you're working and keeps the dust around your project to a minimum.
Drilling? Have a friend stand on the back side of the project with a vacuum pointed just below your hole.
The vacuum will suck up the dust as it falls, keeping buildup and spreading to a minimum.
See keeping that dust in check is easier that you thought. I'm Mrs Fixit and it's just that simple.