The quickest and the easiest step to take are to keep all doors and windows closed especially while the work is being undertaken. The rooms which do not require access during construction should be locked away. This would mitigate the spread of dust and debris in a big way. Another effective tip to control construction dust is to hang plastic drop cloths known as zipwalls around the area of renovation.
But excess of movement should be avoided as it allows the dust to potentially escape. Placing sticky mats on all entry-exit points pulls of much dust off shoes and legs. Lining the walk-way from the area under construction to the exit with floor paper captures quite a bit of dust and debris. Work like tile or woodcutting can generate substantial dust.