I take toothbrush and a tiny tube of paste. Like all human waste, mouth rinsings get buried. Some of the areas require you to pack out toilet paper; for areas that don't the biodegradable kind is better than the Charmin or other store brands.

Since I boil water 99% of the time I'm able to avoid lots of washing of the pot, and rinse my bowl/mug thoroughly with any leftover hot water from the pot. If there are more than a few scattered remnants of food I bury it with the toothbrushing water.

You can use wet wipes for washing - surprising how far you can go with a single wipe. Face first, then the rest. Sometimes I like to heat a little more water than I need in the morning to "soak" my head. I'm able to wash my (short) hair with a cup of water and a couple drops of Dr Bronner's.