Well it's partially magnetic, so there's one solution
Magnetic collectors at every door, in every washing machine, in every storage cabinet. Magnetic brushes for clothing. Make that electromagnetic, so it can be switched off and debris discarded.
That leaves mostly non-ferrous silicate and alumina dust to deal with. Plastic enclosures can offer protection from these particles but will interfere with heat dissipation. Steam-cleaning, ultrasonic, and laser technologies are available for cleaning these enclosures as well.