In this aspect, bigger is better is not always true in my opinion. Proper sizing will save you money. I have what is enough to power the items connected to my 6 switch manual transfer box. That's my radiant heating system which also gives me hot water, my fridge, most of my ceiling lights, a set of plugs in my kitchen and the plug in my basement that runs my freezer and internet stuff. My 4k inverter gen can easily power all of this stuff with all motors running. It throttles up when the fridge or freezer starts but then comes right back down. I have no need for a 6k gen that is sucking fuel running full tilt because I can't afford one that big that has auto speed. With my setup I have gone days on 6 or 7 gallons of fuel in the winter. I don't run it at night. I also don't care about not having the electric stove or dryer. I can still use the microwave and the gas grill is outside if needed.
Aside from the dangerous aspects of back feeding, it's also not easy to tell when the power is back on seeing the main breaker is off. I paid less than $200 for my Gentran style transfer switch, it paid for itself in the first power outage.
My first gen setup was a 4kw Generac with idle down. It was quiet for that type of unit but any load whatsoever who make it rev up. Using my FIL's 2kw Honda EU2000 made me want one that adjusted the RPM for the load needed and oh so quiet. With the first setup I ran cords everywhere. I wired my furnace and radiant water pumps to a regular plug so I could plug the heating setup into an extension cord.
My current unit is electric start. I wouldn't expect my wife to be able to start a pull start only unit.