A small inverter to charge phones and tablets + watch tv and a Costco inverter generator will do what you need to do for less then the cost of a 2kw PSW inverter and 200+AH of batteries (and all the 0 to 2/0 interconnects.
Daughters rock, but all the hair appliances (driers, curlers, straighteners) are going to require a lot of batteries. If you aren't there yet, wait for it. I have 255 AH of batteries, and a 3KW PSW inverter. I get a few minutes out of the microwave, I can reheat - not cook off the batteries. The low voltage alarm on the inverter is beeping long before the hair is dry.
Costco 2800 watt inverter generator. This one is $700, and already has a 30 amp rv plug. If you are a 50 amp trailer the dogbone to plug into this is cheap.
For comparison a Honda EU3000iS operates at 49 to 58 dBA @ 9 feet, the Costco is 58 Dba @ 23 ft. The Costco is louder then the Honda, but for less then half the cost.