Let's face it. Laundry will be a chore that no one wants to do because of the time and labor involved. I've seen a low tech solutions where a five gallon bucket is used with a plunger (unused!). (LINK) A hole just big enough for the handle of the plunger to go through the top of the bucket lets the person agitate the clothes without losing the bulk of the detergent water. Another bucket of rinse water, actually probably a few, will help rinse the clothes.
The clothes can be hung really wet, and air dried for a long time, rung with a ringer, or a DIY wringer using 5 gallon buckets can be used. I haven't tried it myself but thought it was a genius solution. The laundry person sits on the buckets to force the water out of the clothes while plunging the next "load". (LINK)
Another low tech solution for when things go wrong.
Keep Right On Prepping - K