When dust is a concern, people often tend to clean more frequently, which can make things a lot worse. The typical vacuum draws air in, traps the dirt, and then blows the air right back into the same room. Even with the best filtration, the dust is simply re-distributed into the air.
One solution is a central vac cleaning system that offers powerful deep cleaning. But the power unit is set up to exhaust the air outside, then it leaves indoor air virtually dust-free.
For minimizing the noise level, you may want to place the power unit in the garage or basement. Most systems come with a 30-foot hose that plugs into various outlets around the house and are connected by PVC pipe to the power unit.