Only two adults, one small child (and two dogs) here, but I do the following:
Several wash loads throughout the week, pegged out each morning on the line in summer, hung up on drier in utility room in the evening in winter (some things do get tumble dried, like bedsheets, towels or a few other bits and pieces if I am running out of drying space or have got a bit behind).
The dry stuff gets put into a couple of big tubs in the utility room (sometimes the airing cupboard) and then on a Sunday evening I set out three tubs, one for each person in the house, plus another big tub for bedding and towels. I then iron everything and place it in the correct tub as needed. I am a crazy person who irons everything, including pants and socks. I don't know why, I realise it makes me sound like a bonkers person, but some stuff genuinely needs it (my husband's work shirts, my little boys trousers get very creased, plus a few of my own dresses and tops) and if I have gone to the trouble of setting up the bastard ironing board and huge, steam tank (but really fast and effective) iron then I think I may as well get the pleasure of having 3 piles of immaculately folded and neat-looking clothes at the end of it and feeling like a virtuous person who has got their sh*t together. Obviously shirts go on hangers but everything else goes into the tub. The last job before I put the ironing board away is to match up all of the socks and put them in the right tub.
I then (I don't work on Mondays at the moment) put everything away on a Monday morning and I feel like that is me done for pretty much the whole week (I don't see putting the washing machine on each day and then hanging it out as that much work tbh).
I feel like it sets me up for an organised week, knowing that I am not going to be scrapping around each morning for a pair of matching socks etc.
I rarely iron bed sheets and obviously there are some items that can't be ironed, even if I wanted to, like gym kit etc.
The ironing part probably only takes me about an hour because my iron is a mo' fo' of a machine.
In terms of what gets washed and when, I wash absolutely everything that my little boy wears after he has worn it once. Even with pyjamas he has a fresh set on every night. I know some people may consider that excessive but that's the way I like to do things. We just make sure that he has enough clothing/nightwear to last him a full week with a few extras in case of accidents.
With my own clothes I would wear a pair of jeans or a sweatshirt a couple of times before washing it and towels get washed about once a week. My little boy has two coats so that I can wash them about once a week and I just hang it on the end of the radiator to dry.
My pet hate (no pun intended) is washing the dogs bed covers as they are such a faff to put on.
Laundry is generally my most hated chore but this system works for me and it ensures we are never late for work/school because we are hunting around for something.
If you really don't want to do ironing (which I totally understand!) I'd recommend you wash a load each morning, hang it up when you get home and have a set of tubs that you put dry stuff into for each person and then put those clothes away when the tub is full. I know some people like to have different days for different items but I don't think I could be arsed going through the laundry basket and sorting it into different piles, bearing in mind it all needs washing anyway.
I have two laundry baskets - one for colours and one for whites - and we all use the same ones.