I do laundry for 4, and have a few suggestions:
I actually take iron-able shirts (and pants that get wrinkly) out of the dryer after 10 minutes or so and then put them on hangers -- they're still warm and dampish, but less wet then they were. This seems to help. They dry the rest of the way on hangers. I can smooth out plackets and such when I hang them. This means I count when I put stuff in the dryer: 1 DH shirt, 1 kid1 shirt, 2 DH shirt, etc. Then I have the appropriate hangers handy.
Socks: you have two possibilities here. 1 is get a zillion pair of identical socks and only wear those. Wash, dump into a drawer. Option 2 is that you have to match up the socks. Then roll them up like sushi rolls and put in your drawer. You will have to spend a little time the first time dumping your sock drawer on your bed and organizing it, but after that it's pretty easy to put socks away, it's easy to see everything you have, and it's fairly obvious if you own some you never wear. (Option 2 is a Marie Kondo variant.)
People who are not me who put clothing into the laundry inside out get their laundry washed, dried, folded and put away inside out. Life is too short for me to have to turn 25+ shirts right side out each week, much less socks! (4 people, 7 days, plus exercise clothes, but I put my stuff in the laundry the right way.) If you leave crap in your pants, woe is you! (We've had some near misses with gum, but no pen incidents ... yet.)
Actually, the best advice I have is "clean together". Dealing with the laundry is less of a burden if you're working with the other people in your house to get everything nice once a week or so.