Air purifier vs. concrete dust

Hi folks!
I do the repairs in my home. Currently, I finished repairing the kitchen and the bathroom, put doors to these 2 rooms. I live in the kitchen with my doors closed and do the repairs when I have some free time. Anyway, the concrete dust penetrates the kitchen and I breathe with this dust, so I think about purchasing a good air purifier to handle this problem. Any suggestions? I think about the second option from this article, if it helps asthmatics it should help me. First of all, it must handle the concrete dust. Also, I’d like a quiet model, because I’m a light sleeper. My budget is $200, but the cheaper the better!