Thank you Deniese,
What I did last week was swept with regular broom... then I picked up what I could with a dust mop.... then I took another dust mop type cloth and wet it with water and vinager from teh sink and mopped. I came up pretty good.
I just don't know what to do with a dust mop after I mop! I can't really take it and shake it outside cause I have neighbors that might not appreciate it. So... what to do with that thing??
Anyway, I found that sweeping and then dustmopping gets all the cat hair, sand and whatever up, then mopping with another clean wet dustmop.
Still so many steps compared to vacuming! ;-)