Well in the short term,l both are doable without.
Got a microwave?
Wash clothes in the bath- been there many a time without a washer and it's not as daunting as you may think. Remember to wash only when necessary.
Underwear obviously has to be done every day, but other clothes can be warn at least twice. Make sure you take them off when not needing them (stick PJ's on when in house and not leaving for a while) Hang your clothes back up again, and freshen with Fabreeze if necessary.
bath towels, bedding and jeans are the worst. I found that bath towels would last a good couple of days, if thoroughly aired after each use.
Drying hand washed clothes is usually a problem too as you obviously can't spin most of the water out of them. But in this weather we've been having lately, drying them outside shouldn't be a problem.