>>918452>Honda and Yamaha generators are more or less considered the best.Correct, also the most expensive by a large margin. They are built well though.
>>918340>GeneracGood value for the money IMO. I have an older iX2000, the newer iQ2000's run even quieter and are parallelable if you need more power than one can provide. A little more picky on carb tuning and fuel octane/quality than the hondamahas.
If you're /out/, consider a propane camp stove instead of electric appliances. Lighter, easier to deal with innawoods, and far more efficient.
If you're looking for a standby genset for the house, i'd size something at least 5kW.
Whatever you get needs maintenance - run it periodically, oil change and air filter cleaning at least yearly. Install an hour meter to track its runtime. It's not the same as utility power, let it warm up before you apply load, and let it run for a few minutes with no-load before you shut it down. The engine and electronics will thank you.