Construction dust and air purifiers

[wherehaveallthegoodfolkgone]

Hello ,
My neighbour is carrying out extensive work on their property that will go on for around six months. I'm v v worried, this is the second time they're carrying out major building works (last time it went on for a year) and mine + daughter's lungs were really impacted. We're both asthmatic, daughter was hospitalised with pneumonia.

Mentioned this to the owners, requested plastic sheeting to be put around construction site but not sure they'll cooperate as the response was so vague.

I want to ensure maximum safety for my children. About to invest in the best possible air purifier, I've seen Dyson, Shark and Blue air...can anyone recommend one?
I'll be keeping the windows closed throughout the summer, ffs ! Anyone know how long it takes for the dust to settle/ no longer be airborne so I can ventilate in evenings ? Thanks all

Do you know what they're doing and how much of it will be dusty work? I'd maybe look into hiring an air scrubber for the worst bits, as it removes bigger particles also and wood dust, concrete dust, silica etc. I think you just have to run it for an hour or so a day and they're more effective than domestic purifiers

A1b2c3d4e5f6g7 thanks, they're extending a large amount into the garden and some of that entails deconstruction.
Never heard of an air scrubber but will look into it !