Truth
Jerry Cantrell new album!!! "I Want Blood"
All the goodies. Harmony, melody, riffs, and mood.
Not an expert on off grid solutions, but I spent some time building mobile off-grid systems using solar, shore power (grid input) and LifePo battery banks.
The inverter you are looking for I believe is something like what Victron offers. Victron makes really nice stuff, super techy and customizable. This unit here is able to accept two AC inputs and has built in transfer switch. It's a battery charger, inverter and transfer switch in one package.
https://www.victronenergy.com/inverters/phoenix-inverter-smart#pd-nav-secondimage
The only thing missing from this equation would be a suitable solar charge controller, which Victron also has plenty of offerings for. A plus to sticking with Victron is that your monitoring can all be done on one app. Some Victron devices also talk to each other and optimize parameters to extend battery life, favor off grid or on grid power, etc.
For battery banks, I've had good experience with the EG4 racks. They are power dense, have great BMS systems that are customizable, and are priced affordably. You can run these in parallel to increase your AH.
Lots of technical considerations go into selecting proper components, but maybe this will help get you started.