One way to minimalise: ;) break stuff!
Yesterday I hosted 'coffee morning', and a toddler dropped a glass coaster on the tiled floor. The coaster wasn't that precious and I had told R to put anything out of reach that he was bothered about but it did mean glass on the floor. (The friend who's kid it was, offered to buy a new coaster and was really embarrassed, bless her...)
You take a slice of bread & press it down all over the floor area that you've dropped the glass... It collects any tiny pieces of glass that you can't see as easily. Then you put the bread in the bin. I use it to be sure most of the time that we drop a glass, because we thought we'd got all the glass yesterday and then found lots of bits glistening in the bread. And with babies or toddlers around, I think you can't be too careful!
Sooo that's my top tip for the day... I have just dropped a glass off the table & as well as sweeping it up, 1 piece of cheap bread has cleared up the remaining glass, (hopefully)! :)