You can get microfibre flat mops that are supposed to pick up dust and clean at same time and they can be used wet or dry. I have one as have laminate floors throughout flat, I find I still need to sweep and hoover but I do little often, never the whole area or it gets too overwhelming. I sweep and mop bathroom and corridor in morning, kitchen in evenings, and livingroom everyother day. I hoover once/twice a week as have carpet in 2 bedrooms and I wizz around the rest of the flat then (normally a tues and a thurs as are bedchange days and I like to hoover mattresses)
I sweep then mop. If you get a long handled brush and dustpan thing it's no problem. Then I mop with a vileda blade mop (it's just a big sponge you can squeeze through the handle). All surfaces get one teaspoon of washing up liquid, one tablespoon of lemon juice and one teaspoon of disinfectant (we have a 10 month old who is constantly eating things found on the floor).