what mil thick plastic to hang for dust management
I can comment, from tons of experience, that trying to secure the plastic with blue painters tape is highly likely to lead to a great disappointment in performance. Taping up even the thinnest plastic sheeting is so easily torn down by any pulls and tugs on the plastic. Heavier plastic is even worse.

My recommendation, if you have to use tape, is to use something a lot more aggressive such as Gorilla Tape.

Even better is to drape the top edge of the plastic over a thin board strip such as a 1x2 and prop that up against the ceiling with additional 1x2s that are cut to the proper length to wedge in from floor to ceiling. Then run painters tape along the edge to seal the plastic to the ceiling if needed.

Note that professionals use a product that has adjustable spring loaded posts to hold up plastic in the same manner that I described with the 1x2s above. One such system is described here.