Toileting Without Running Water
A friend of mine has an excellent article on sanitation following earthquakes, or other emergencies. It involves a lot of the gross issues like bodily waste. I should be able to get a copy of it soon, and then I will share it with you. In the meantime, I found this site. It talks about make-shift toilets, disinfecting, and some good basics supplies to have around.
Showering and Washing Hands Without Running Water
Don't plan on getting a full blown shower very often. Use a little of your stored water to clean your face and teeth clean (I know I feel a lot better after brushing my teeth, even if the rest of my body is dirty!) as needed. Wash hands as frequently as needed/possible. It wouldn't be a bad idea to store some of those face wipes that have cleaner already on them. Have extra toothbrushes and toothpaste on hand, including in your 120 hour kit. Store water in old liquid dish and hand soap containers. Store extra soap and hand sanitizer.
I don't have any suggestions on washing clothes, other than don't plan on keeping them very clean, have extra, and locate other sources of water that you can use for non-drinking purposes. Do you have any ideas?