Workmen, like my husband, love their Henry. They don't clog and pick up just about anything apparently.
I too have had problems in the past with vacuums clogging up. I've learnt the hard way. If you are regularly doing diy you need to invest in some proper dust sheets, polythene and cotton. Brick and block dust can go thru cotton. When drilling into any wall I always make sure the floor is protected but I hold the dustpan under where Mr Rabbs is drilling to catch dust.
I invested in a broom with a rubber head comprising large bristles of a sort and a squeegee blade. This cleans up most junk on the floor, and carpets, without dust flying as with a conventional broom. And you can use it on wet floors. I think Woolies do them.
Prevention, where you can, is cheaper than a new Dyson.