We are very minimalistic and have the bare minimum of furniture, ornaments, etc., which makes cleaning much easier/quicker, we just have "special" things out on display, not random crap bought from tacky souvenir shops! Dusting and wiping surfaces is so much quicker when you've less to move around. Fewer pictures etc means less dusting of them, fewer places for cobwebs etc.
Basically nothing is left out, we have drawers/cupboards for particular things, i.e. a stationery drawer where we put all pens, sellotape, blutack, drawing pins, notebooks, etc., which isn't just tidy, it saves a shed load of time looking for things. When our son was small we had loads of big plastic boxes, toy cars in one, brio trains in another, craft stuff in another, etc., and we'd put everything back in the right box and stack the boxes at the end of each day, nothing left out on the carpet! That meant it was quick and easy to vacuum! We have a shoe rack and coat cupboard in the front porch so outdoor stuff doesn't come into the house meaning less dirt on the floors, less "stuff" cluttering up the house, we don't have coats flung on the back of chairs etc.
Dirty/worn clothes are put in the washing basket, so I don't need to go around trying to find things/work out what needs washing. We each have virtually identical wardrobes and drawer units in bedrooms, which I standardised so that underwear is in the same drawer in our respective chests of drawers, as are socks, T shirts, swimwear, shorts, sports wear, etc. "Best/Formal" clothes are in the left side of each wardrobe, work/school in the middle, and casual/indoor at the right side of each clothes rail. That means OH and DS can help by putting washed/ironed stuff away for us all, not just themselves, as they know roughly where to put things.
Two vacuums, one upstairs, one downstairs, makes a massive difference and makes it easier to have a quick vacuum around when there are a few "bits" on the carpets, much quicker/easier than having to go upstairs/downstairs to fetch the vacuum.
It's all a matter of being organised and efficient. Obviously having a compliant/helpful partner and child make things easier too, but my OH would never have become my OH if he was an untidy sloth and would certainly have not got close enough to me to father any child of mine if he was unclean or lazy. Son has also turned out to be clean and tidy - he's just done his 3 years at Uni, and always did his own laundry regularly, including bedding, etc., and whenever we've been to see him, his room has been spotless and well organised (inc clothing in order on the rail in his wardrobe!). He must be one of the few students who bring his clothes/bedding home at the end of the year freshly washed and ironed ready for me to put away! I hear horror stories of other students bringing home bin bags full of dirty laundry - urgh!