This is the inverter I plan to buy. My 2 batteries are not connected to the car so the solar will connect directly to the batteries I'm guessing. I'm even more confused by some of the answers I am getting. Here is the converter and a video supplied by Harbor freight.
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www.harborfreight.com
I am sure you can find a nice diagram on how to set things up but the basics are:
1-2 Batteries
Solar Controller to charge batteries
Solar Panel of your choice (100 watt or better would be my recommendation)
A Fuseblock (Bluesea for example) to connect USB plugs, and anything else 12 volt
Inverter direct to the battery (Should have a fuse)
Bonus items (On off switch to turn everything completely off) OR
Battery switch that allows you to get power from battery 1 or battery 2, or both. (Blue Sea Systems 300 Amp m-Series Battery Switches)
Shore power so you can plug in and charge batteries at home (Noco brand work well)
In the Southwest I think 2 batteries are overkill because solar works so well. I have a 95ah starter/deep cycle battery in my FJ and another 95ah deep cycle in my trailer. My 100 watt panel can keep both happy while camping in a matter of hours. I manually switch my fridge to be powered off of the trailer battery when I am base camping.