Old Style techniques for dust ?

MrsStepford

I have hayfever and my husband seems to have something like asthma (undergoing tests). I know to dust from the top down and we have a HEPA filter Henry vacuum cleaner. I'm asking for air purifier recommendations on another forum. 

But are there ways to capture dust rather than spread it around with dusters ? Any remedies that work ? 
How did people cope in days of yore ? 

Floss

Use a damp duster, which will hold the dust rather than waft it around. Just dunk a cloth in to tepid water, wring out well & wipe.

Nelliegrace

Damp dust with a little bit of detergent in water, well wrung out.