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There's a good general principle for you, one that will serve you well in any relationship: hang your own laundry. Value what you value, but take on the responsibility.
If it's wrong to drive, don't drive. Inspire others with your example. Make them envy your economical lifestyle. But don't let the air out of their tires.
If you think the laundry should be done in a particular way, do it that way - yourself.
If your partner is insisting that you inconvenience yourself to conform with his idea of how things ought to be done, invite him to do it in that mannner - himself.