The majority of systems installed today are designed to cut power when they determine the grid is down. That can be remedied. But it takes more equipment and money.
I have solar on my pop up truck camper. Whole system cost less than 700.00 dollars. I did the install my self.
It works great. Runs my frig, lights, and diesel heater.
After 2 days of rain and little sun light, My batteries are almost depleted.
I consider this system a fun novelty. Would not consider ever putting solar on my house. Maybe a barn I have with no electricity.
The only constraint to switching over to your home solar here is that you have Battery backup, which is what we have in process.