Let's see, I live a fair ways from the nearest city, and that one's not even a big city at all (sadly enough). We have one room that is completely defenceless, because of the presence of several double-door-sized windows, though we could barricade the doors (which open into the room, so if the zombies can't pull, it's even easier to barricade). If we cut down the corn field across the street we'd have full visibility in every direction around our house, which is good. Weapons are limited to kitchen knives, shovels and an electric chainsaw. I do have a bow but no (more) arrows, but the accuracy required to hit zombies in the brain with that is just ridiculous.
As for supplies: We have what's according to Google translate is called a "kitchen garden" in English and some chickens (plus two large gardens that are not currently doing anything useful except looking pretty). So we'd have eggs and vegetables. There's also an apple orchard just down the road. Getting meat would be a problem though. There's a small stream nearby as well, though we'd have to purify the water first, we wouldn't die of dehydration. Our neighbour (a nice chap) has sheep, bees (hmm, honey) and grows his own cherries. Wool from the sheep means we can stay warm in the winter, even if our clothes get damaged from all the working and occasional fighting. To keep warm we could also use the fireplace, but the smoke might alert looters to our location, so that might not be the best idea.
We also have solar panels on our roof, though they are not directly connected to the house, the power currently goes into the general electricity net first, but they can be rerouted. As I don't expect power to be gone completely in the first 24 hours that leaves enough time to contact an electrician I know to do so (or look up on the internet how to do that, if nobody is able to come over).
We have three cars, so anything we're lacking we should be able to loot, provided we have a decent sized group. I'd also let some friends know we've got food, water and shelter, and that they're welcome to join, after all, the bigger the group is, the less likely you are to be bothered by looters/gangs.
Also: firearms should be avoided if possible. The noise would only attract more trouble.