What kind of battery do I need to power an inverter and can it be charged by a gas generator?

New to this system. I recently bought a gas powered generator for outdoor use—wanting to use it sparingly, I would like to purchase a battery and inverter that will provide necessary power for my low-watt tools and appliances—with the generator being used to charge the battery when it runs out, and power more watt-heavy equipment—like my power tools.

I am looking for battery/inverter options and the wiring that would go with them to 1) charge the battery, and 2) connect the battery to the inverter.

Thanks in advance!