I use about a 3000 watt Yamaha inverter to run my whole house. Kuuma blower, 2 fridges, 1 big chest freezer, and all my misc electronics, reasonable lights, and vampire loads. Handles the surge loads, and loafs most of the time. No well pump or A/C though. You'd have to provide for that if you need them.
I also have a 650 watt(!) Honda I inherited that I run during the day (no fridges or heaters) when it's going to be a long time (or very short) before grid power comes back. It's almost silent, uses almost no gas, keeps the internet connection and laptops going, plus keeps all the 9v batteries from going dead in my smoke detectors and whatnot. I can also turn on the light in the windowless bathrooms to pee, which is a plus! But it takes discipline to not trip out the breaker. If I forget that I'm on the small gen, hit a remote and try to open a garage door, I immediately realize that I f' ed up. And, if it's days without power, I have to switch gen's periodically to keep the fridges and freezers happy. It's also not enough to handle the surge from my wood furnace blower, so if I want that, it's the bigger Yamaha.
I also have a 8000 watt coleman with a BS Vanguard that can run all my 220 loads if I need to, but the noise can wake the dead, and it drinks gas. If I'm not running the welder and the compressor, or the electric dryer I no longer have, it's massive overkill.