Low budget, sometimes crazy, and high budget power outage schemes I have used in New England.
When I lived nearer the city in MA, with town water, we didn't really have a long term outage plan. In 10 years we only had one or two outage that lasted more than 24 hours and you still have running water. So the challenges there are heat if it's winter, and refrigerator otherwise.
In early years I was experimenting with solar power, not for any thing real, just one panel and one deep cycle battery. The battery, with inverter, definitely saved one Christmas eve without power.
When we had some of the longer outages where we worried about the contents of the refrigerator melting, we kept it closed tight, and I would, every some number of hours, run the refrigerator using my inverter hooked up to the car battery, with the car running. Inverters are useful things. and a lot cheaper now than they used to be.
Later, we bought a home depot 5kw generator, bare bones (no automatic stuff, no frills of any kind). The idea was to run the furnace, but I was too cheap to hire an electrician. Instead I made a "widowmaker" cord. Don't do that. Can't say I ever had an outage that made me try it with the furnace.
Fast forward 25 years, and now I live in Vermont. It's a big place with lots of power drains, and 10,000 trees between my house and the nearest paved road that are always taking away power. Maybe it's just some bad maintenance or something with Vermont power company, but we lose power a LOT. Sometimes multiple times per day, often multiple days per week. The aren't _usually_ long outages, though I think hurricane Irene a few years ago left us without power for 3 days.
We have oil heat, and well water. Very far from any town. We don't any wood stoves hooked up, though we do have some old ones in the basement.
The normal (less expensvie) thing for woodland dwelling Vermonters to do is have a small generator for things like the fridge, and use wood stoves for heat, either as main heat or as backups in the basement to keep pipes from freezing.
The house I bought (so I can't claim this was any brilliance on my part), came with a commercial Kohler generator (so many KW I'm embarrassed to mention it), in a vented shed to run it (you can't even hear it unless you are close enough and on the correct exterior side of the house), and all the huge switches for automatic power transfer. So normally the house is not without power for more than, literally, one second. If it's 2 or more seconds we'll be surprised. The generator is hooked up to a 500 gallon propane tank (underground, can't even see it). When I first saw the house to consider buying it, I swear I was happier about the generator than any other part of the house.
I noticed someone else has similar setup, big generators, propane tanks, transfer switches. It is a luxurious way to enjoy the worst that mother nature throws at you and maximizes enjoying life in remote places. So instead of worrying about losing power with the blizzard, you can relax and know you're all set. You never want for heat, hot water, or anything else with this setup. You know where you will be when the apocalypse starts, though the propane won't last long :-/ Someday I really need to consider a micro-hydro setup since I have running streams, but it would be fairly expensive to set up and Vermont does not like you messing about in their streams.