I dont sweep floors anymore either, I use the attachment on my vacuum cleaner, have for years. I have tile and no matter how much I sweep
I still find dust and stuff when I am done. I even use the attachment to vacuum my walls. Mine has a soft edge so I use it to dust with and it makes the heavy duty duting easier when its time because you do not have build-up.
And you are right, when you use a steamer, you will be sick at the stuff you see come up. Where I found the most ick was on the doors. I always wiped mine down and felt they were clean, that was until I got the shark, OMG the stuff that rolled off the doors, and I am talking INSIDE doors made me sick! LOL Same with grout. I ended up on my hands and knees cleaning the grout now its under control but you never really know what is in your house. Get those baseboards too!