I purchased a bag of Bona Hardwood Floor Wet Cleaning Pads at Marshall's.  It was an impulse purchase because I'm always looking for cleaning products to make my life easier.  I read some of the reviews and yes, it appears that where the attachment strips are located that is where most of the dirt gets picked up but I don't care because it is incredibly easy to use and to be able to throw out the used pad makes mopping so much more enjoyable.  It dries quickly and my guests have commented on how beautiful and shiny my tile floors are.  I actually looked up this site to find where I can buy more.