For laundry, I will use dishwashing soap- a small amount goes a long way. Will use my two kitchen sinks, one for washing, the other for rinsing. Will use a new plunger to use to stomp the clothes around in the soapy water, then wring and put in rinse water and use plunger to move clothes in that. Have a metal folding cloths dryer. The end sticks in an outside umbrella holder and unfold the arms for the clothes lines.
For hot water, I use camp showers - put the bags in the sun and get hot water fairly fast. There is a tube on the camp showers and a cut off, so use them for running water when there is no running water. Use those for regular body showers, too.
Sounds like a plan.
I boil mine, in 1700s-1800s era style. It is very hard on clothes over time, though.
While I have used homemade lye soap to wash with... I prefer the modern stuff. ;)
/johnny