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We had cont' remodeling here when we 1st moved in, the floors were all done but there was so much dust (mostly laminate & travertine, no carpet). I used a vacuum on floor mode & swiffered the floor w/a microfiber cloth attached to it. It picked up so much dust!
I'm obsessed w/cleaning my floors. If it gets dirty, I wet the microfiber cloth w/a mixture of 2 cups of water & 2 tablespoons of apple cider vinegar (I just use the sink!). Wring out the excess & attach that to the swiffer & it cleans very well! Safe for pets too.
How to Clean Wood Floors With Apple Cider Vinegar | eHow