Power system for our sylvansport go camper

[Autism Family Travels]

I am looking for some idea on what I would need to power our camper for boondocking. we would need to plug in our 12v cooler/fridge, a couple of LED lights, and charge our phones/cameras/laptops and run the wife's hair dryer and straighter at times.

I was thinking a 400ah lithium battery, solar panels on the roof and a charge controller/inverter for our gear. Any thoughts on this one?

thanks