How to more efficiently clean a concrete floor?

I live in a ~100 year old house, and I'd like to clean up our very large, very dirty unfinished basement. I started sweeping out one of the rooms with a flat broom, but after an hour, I had made it about 3 feet from the wall I started from. Is there a quicker, more efficient way to get all the dirt out? I feel like I need a miniature street sweeper down there. Is there some kind of machine that will sweep and collect dirt (that I can rent and get down a narrow flight of stairs)?