I agree with the Coleman lantern. We still have ours and haven’t gone camping for about 10 years but we used to go frequently to the Mountains for a weekend. We didn’t RV though, we tented.
Okay, your RV should have a stove that uses either propane or white gas (think Colemans canned liquid type gas). If it doesn’t I prefer propane to white gas so I converted our ancient two burner Colemans to propane and it works really great.
Now, I got a medium size plastic storage container with a “deep lid”, inside of this I store a saucepan, a frypan (prefer cast iron), and cooking utensils. In another one I have plates, flatware, bowls and cups. I used the storage container with the deep lid as my dish pan and rinse pan. When you are done using the saucepan, heat water to boiling for your dishpan, add regular water to that.
Most of what I have told you though really doesn’t apply to any RV I know (even the fold downs) as they are pretty well self-contained.
Bring plenty of drinking water for everyone because you are not guaranteed pottable (drinkable) water if you are not going to a KOA and I personally wouldn’t go to one unless I was looking for a “cheap” place to stay while visiting a city.
Now as far as places to go, start with your local State and National Parks. Do a google with "camping (your State name here)’ or “(your State name here) State Parks”.
Gee, it is time for us to head out and go camping again! You all make me miss the mountains.
Brenda V.