CorrectIf you want simplicity plug and play:
Look for any power station that has the "UPS" feature.
I use ecoflow river 3's. I just plug everything into it and then its plugged into the wall. If the power goes out it switches from AC to DC. If your have more power demanding needs. You should factor that in. I can get away with it for several hours before I need the generator to kick on.
The river 3 plus version has 3x more juice as well for additional needs. That or again look for other brands.
The river 3 is 245wh with a 300w inverter. It’s a entry model ok for a few hours tops with a low load.
The river 3 plus is a 300wh with a 600w inverter. It has more juice but barely anymore capacity (runtime). This is a 300$ power station…with a very small battery and decent inverter.
For 100$ more than the river 3 plus, you can get 4x the runtime and twice the inverter power
The units being suggested are 1000-2000wh with 2000w inverters