I can't recommend an HEPA filter highly enough. Also, if you can afford
a Roomba robotic floor cleaner, it would probably help a great deal. You
can set it to clean the floor while you're out of the room or even
outside, so you won't be disturbed by the dust it kicks up. When you
come back, the dust is gone. Unfortunately, it can only do the floor and
not shelves or sofas or walls ... hopefully they'll come up with a real
robotic maid someday. ;-/

S k y s k i m m e r