I don't see going offgrid, being very practical, without more than one power source. First off, there is the "all the eggs in one basket" situation. Look how well your house functions when the grid goes down now... Second there is the efficiency perspective. A 12KW generator is not very efficient at 2KW of average load. IMO, there are a few ways to do this effectively. YOu could have an assortment of varying sized generators. A small one for average loading, a larger one for mid size loads, such as when you need A/C, and a large one for laundry day. This would allow you some flexibility and redundancy if something should fail. But of course, someone needs to maintain and control these. Another, perhaps better way IMO, is a hybrid power plant. You use a battery bank and inverter to meet your average loads. You have a small to midsized generator that runs occasionally at peak efficiency to recharge these batteries. This generator also acts as a backup to the inverter or battery system for when it goes down. You have a second larger genset to meet peak demands such as laundry day, and as yet another backup. With some planning, and proper sizing, it might be possible to peak the battery bank on laundry day with one generator.
This type system has a few distinct advantages, not the least of which being you don't have to run a generator at night very often, but the lights will still come on when you flick the switch. This system could also keep the reefer/freezer powered 24/7, even when you are away. It would also allow you to fairly easilly incorporate solar to maintain the charge and save on fuel costs. Hot water will always be a problem if purely electric, so perhaps that and the cooking stove will need to go to gas/propane. Any offgrid system that encorporates a generator should have some provision for waste heat recovery. You are burning the fuel, better that the heat from the engine go into the hot water tank, or to heat the house, than out to the atmosphere thru a radiator.
Any excursion offgrid is surely going to incorporate some lifestyle changes, some carefull planning for meeting the needs of that new lifestyle, and some outlay of infrastructure to keep your family in a lifestyle near to that which they have become accostomed.
I wish you luck .