Well, here are the things that have seemed to work for me...
For one I've definitely weaned down the clothes -I used to have the philosophy that more clothes meant I had to do less laundry, what was I thinking??? To be fair to myself though, when I had fewer people in the house a few days' worth of clothes didn't fill up the washer so I guess it made sense for us all to have enough clothes to get a full load's worth but now that that happens more quickly more clothes just adds to the work.
I also got rid of all collapsible or larger laundry sorters... those things just gave me way too much grief trying to lug them around or trying to dig stuff out. I went with nice firm small plastic square bins on the floor of everyone's closet. So now everyone can just toss their clothes on the floor in the bins and they are so easy to carry and toss the clothes into the washer.
And I got rid of the dressers -things getting shoved in the drawers or stuff in the drawers being tossed around looking for a favorite item caused so many headaches, also not knowing if some special item was clean until the last minute. Now everything is out in the open in the closet, either hung on a hanger or laid out on an open shelf (besides socks and undies in bins). When stuff comes out of the washer or dryer everything that can be hung up gets hung up (we hang sweaters, I've been reading a lot here people say they don't hang sweaters because it damages them which has me a bit worried, but I've been doing this for four years and so far I haven't noticed any issues yet? maybe it's because the sweaters are stored for half the year, though?) and I have a bar to hang hangers on in the laundry room, socks and undies get tossed in a basket and pants and skirts get minimally folded and set on top the washer and dryer. My 4yo likes folding the towels and sorting socks and underwear so while I'm hanging and folding he's matching socks, making piles for everyone and folding the towels... before he started folding towels I decided it was no longer something I had time for so I switched to bins in the closet and just tossed towels in there, no folding! When it's all out of the dryer if everyone's available they immediately grab their hangers, stack of folded pants, and pile of underclothes and take to their closet, underclothes tossed in a clear bin, folded clothes placed on open shelf, and hangers on the rod, easy. Sometimes someone is not immediately available but it's pretty easy for anyone to do when they see it and their hands are empty.
I also weaned down the bedding... now I just wash everyone's sheets together once a week (this was a big scary change for me, I used to change the sheets every other day, I'm still squeamish about going so long, but I just don't have time to do it anymore) in one load and put the same ones back on and then I do all the pillows and comforters once a month which takes about three or four loads... so there's no folding or putting away bedding. If I find myself with more time on my hands I will go back to more frequent bedding washing and one thing I found that really helped there was sticking with nonfitted sheets... easier for everyone to make their own beds and one person to do quickly, also don't have to worry about sizes and easier to fold and not worry about grabbing the wrong sheet out of the closet (with people pulling out and unfolding several to find the fitted sheet, ugh!)