If you can keep the well on with the generator, then I would worry more about keeping enough petrol on hand. If you put fuel stabilizer in it, it keeps pretty well. What we do is label the "generator" fuel cans, #1, #2, etc. Then, when we need fuel for the tractor or lawn mower, we use from #1 until it's gone, then refill it fresh and so on. That way, all the fuel gets used over a period of several months, and doesn't sit forever. All the cans except the one in current use are kept filled, as is the tractor. Make sure the generator is outside with lots of airflow around it - we open our big garage door and put it JUST inside so it doesn't get rained/snowed on. BUT, our garage is not attached to the house. If you have an attached garage, you can't do this.
We run the generator once every 6 months or so for an hour to make sure it's in good working order, and change the oil and such as the manufacturer recommends, at least once a year even if we haven't had to run it for much. Our generator is big enough to run both our furnace (it's a gas furnace, but the pump runs on electricity like yours) and the well. If yours isn't big enough, then switch between the two as needed: warm up the house with the furnace, then switch to the well. That's what we had to do when we had a smaller generator.
We use LED lanterns for light. The new ones are bright, and use very little battery power. Keep spare batteries on hand. We can also run our brooders/incubators on the generator, in fact, we had ours on this morning because I had new baby turkeys in the brooder, and the power went out again.
Check and see if you can get some food grade barrels - you can get 30 gal US ones around here for about $7-8. Make sure it's clean, clean, clean, fill it up, add a spoonful or two of Bleach (it keeps bacteria from growing), and put on the cover. Put it where it shouldn't freeze. It will stay good for a long time. It will give you water you can drink if the generator goes and you can't use the well. If you take some out and set the water on the counter in an open pitcher, the chlorine will gas off in less than a day if you don't want to drink clorinated water.
Propane stoves and lanterns are great,
BUT YOU SHOULD NOT USE THEM IN THE HOUSE
. Every year or so around here when we have a long power outtage, someone dies of CO poisoning. I work in emergency services, and it's a sad thing to see, believe me, when we go and find everyone dead..
Depending on the size of your generator, you may be able to use an electric frying pan for cooking inside without a problem. Keep lots of things on hand that don't take a lot of cooking. I always have home canned soup and such on hand.
Do you have the hookup so you can run the power through your home wiring? We do, and just flip the breakers off on the things are aren't vital. It costs a bit to get the hookup put in, I do a lot of wiring, but we got the electrician to do this, as it's more complicated and you need to have it RIGHT, or you can electrocute the guys working on the power lines trying to get your electricity back on.
Hope this helps - living in the country is great, but you need to be prepared to be self sufficient. It may be several days before we get plows through here. We have 3 families with small farm tractors on our road - each plows a third of the road at least one lane wide so an emergency vehicle can get through.
If you have elderly neighbors near by, be sure to check on them. If they don't have a way to heat ( or in the summer, cool off) or get water, get them and bring them to your house. It's all about helping your neighbor.
