Energy storage for solar should be some type of deep cycle battery. Either lead acid or some version of a lithium battery.
Car batteries are not a good idea because they don't deep cycle well. The batteries you see being used are probably Trojan T105 or some other vendors version.
If you run any 110V AC appliances, there will have to be an inverter somewhere.
Either in your so called solar generator which is new marketing ploy or a separate one.
Products like the Yeti are "all inclusive" of the charger for the battery and the inverter. Different capacities and will require different numbers of solar panels.
And they might require a specific way to hook up solar panels or need additional charge controllers. I have no idea on that part of the system.
Start out with your power budget. How much power will you use and when. Then work from that to determine the other parts of the system. Battery capactity and number of solar panels.
Nothing worse than a dead battery at 2 AM. I would have an actual generator for those times.