Wow, you've bought a Grit and Dust generating machine!
I hope the house is unoccupied and you have a respiurator and goggles?
Take all the carpets, curtains, furniture and belongings outside.
Having read previous topics regarding chasing machines on this forum, I had been put off buying one in the past. However, I borrowed a friend's cheap Erbauer chasing machine (£100 or so at
Screwfix) a couple of weeks ago to help with chasing in some pipework and wiring at my parent's house. I had an Earlex CombiVac hooked up for dust extraction, which I have had for a while, but in all it's just a cheap £50 workshop vac. So, £150 worth of tools in all, I cut five floor-to-ceiling 30*30mm chases and total dust generated during chasing was more or less zero, the amount not caught by the vac being about equal to the brick dust you'd expect in drilling a 6.5mm mounting hole.
FAR more dust and dirt was chucked up when chiseling out the remaining brick with a scutch and cold chisel.
So, to anyone sitting on the fence, I would quite seriously suggest you consider hiring one of these machines with a good workshop vac and giving it a try. Saves a serious amount of time and effort, and doesn't generate half the mess that people would have you believe. Unless, of course, you've been using the machine incorrectly or without extraction...
I don't do a lot of domestic work, but if another situation comes up where I'll need to do a fair amount of chasing, I'll be buying one for myself.