Some people may find the following a bit gross, but it is not nearly as unhygienic as it sounds...
Pots and pans - re-use. As long as you heat it up really good, and there aren't large bits of food left on it, anything that can hurt you will be killed off. It helps to only have one or two, that way nothing is left unheated for very long. For soups/stews this is especially easy. In fact, I have another tip regarding those - don't use the fridge! I've found I can make myself a large pot of soup and simply leave it on the stove, reheating as needed, and once a day I bring it to a boil to make sure any bacteria is good and killed off. People commonly used this technique before there were refrigerators (hence the childhood rhyme of "peas porridge in the pot 9 days old"). It's quite safe and saves me a lot of energy.
Eating out of the pan, when possible, also makes for fewer dishes to wash.
Another trick I recently stumbled upon is a way that I can now wash my own silverware: I keep a tall dish such as a glass or a measuring cup full of soapy water next to the sink, and simply drop the dirty utensils in there as needed or as I think of it. When I'm ready to use one or have the energy to take care of them all, it's then simply a matter of rinsing them off and I'm good to go. Depending on how dirty the silverware is I need to change the water 2-3 times a week or so. The key is that there's no scrubbing involved, no adding soap, and no bending to retrieve it from a dishwasher.
For spills/breakages, the greatest energy-saving tip I've learned is that it doesn't have to be cleaned up right away. Seriously. Since I don't have others in the house, the fact that there's broken glass all over the floor for days while I await a window of energy to take care of it is no problem to me at all. Contrary to popular belief, broken glass and bare feet is not as concerning a combination as it sounds, since you feel it long before it actually does damage. Beverage spill? Grab the nearest rag/towel/dirty laundry, toss it over the spill, and wait until you have enough energy to deal with it properly....or just wait until the next time you do laundry, by then the problem will have mainly dried up on its own anyway. It helps if you only drink water.
I would prefer to keep my place much better cleaned up, but since my health needs to take priority I focus on keeping it habitable and hygienically safe. I still require a caregiver's assistance with a lot of things regarding cleaning and food, but these tips have helped me live slightly more independantly than I'd otherwise be able to, and that comes with its own sense of satisfaction.