I had painters in this week and because the walls were in such bad shape, there was a lot of drywall dust everywhere from all the sanding they had to do. They used a broom and wet rag to get as much up as they could. They explained that it would take about 5 times of mopping before it would all really come up.
I gave them the FlyLady mop with the blue cover on it, wet, and it got everything up in one use. The head painter wanted to know where I got it and was disappointed that he couldn’t run right out to a store and get one.
FlyLady here: When you make it fun; the job will get done. We love our mop, red duster head and reusable refills.
Our Feather Duster works well on drywall dust too.