I have had a trailer. You will want to hook up to power and will need to hook up to power in order to run the microwave and the air conditioner. You can run things like lights for a period of time off the batteries depending on how many batteries you have. We had two batteries. You can increase that time using solar. The refrigerator, stove, water heater and heat run on propane, although they also use some power. For example, the fan for the heater needs power. You can also run the refrigerator on AC when you have it.
I would suggest that you spend time online and at RV lots looking at different trailers and seeing the features. There will be different features for different RVs.