I bought a roll of vapor barrier from Home Depot, it's a thicker clear plastic that covers a fairly wide area and you cut off the amount you need. Why thicker?
Once upon a time, I had laid the thin painter's plastic on the floor, overlapped the sections and taped. When picking up the mess afterwards, I lifted the plastic by the corners and had a nice bulge of mess contained inside. What I didn't know was I had a seam in there, and although the tape held, it ripped away the thin plastic, allowing the entire mess to gush out onto the floor.
Another time I had a similar situation, also with the thin painter's tarp product. I scooped up the entire mess into a bundle, and dropped it into a large cardboard box. My idea was to then carry the box to the basement and dispose of it down the storm drain. On the way down, the bottom of the carton gave out and the plastic split from the sudden shift.
Lesson learned the 2nd time - I never bought the thin, cheap plastic again after that. A lot of easy clean-up begins with good planning.