Drywall dust is a great way to ruin a vacuum cleaner (even a shop vac) - so I would lay down plastic on the floor and collect as much dust as possible on the plastic or with a broom & dustpan. The fine gypsum dust will get into the vacuum motor and screw up the bearings.
Just to sand repairs shouldn't take more than an afternoon if you don't have a ton of sanding to do.
The sanding screens work better than sandpaper because they don't clog as easy. I haven't tried the vacuum sanders.