I bought an on-demand tankless hot water heater and installed it on the rear of my TT. It has more hot water than my propane powered one did. A friend of mind is a plumber, and he took the water heater out of the system, so if the day ever comes when I want to sell or trade I can hook it back up. I, so I need the generator to run it. Not a big deal to me.
I plan to go solar this year and will replace the fridge as well for one that is AC powered. My reasons for changing aren't the same as yours, but it can be done.
Moved from a 2,000 SF home into a 2014 Puma, about 260 SF. On two acres. We brought in power, water, and installed septic system. We've been here a year now, my wife, myself, and an 80lb female Weim named Daisy. We can barely see our nearest neighbor, one of two.