After Hurricane IKE in Houston, we looked at having a generator added to the house. The house had natural gas and it was all plumbed in at the same place so all of the facilities were together for convenient installation. We priced out the automatic ones that kick on and found that they were unreliable, produced much less power on Natural Gas as opposed to propane and added ZERO to your resale value. I had a hard time investing $10k to $15k in that type of scenario.
What I was told and some neighbors did was have a licensed, qualified, bonded, insured electrician install a separate panel that would be only for the circuits that would run on your generator and add a cut off switch so you didn't feed power back into the grid. I priced it out and it was around $300 to $400 at the time. This gave me the ability to take my generator with me if I bugged out, mount it behind the fence to keep it from being stolen when it is running, store it in the garage out of the weather, and upgrade it later with out any additional charges for installation.
Even though I'm in the desert now and not facing a hurricane, I still think about having this done.
I'd put the refrigerator on it and some lights and a TV. Keeping the power demand low keeps the generator size small and that means it makes less noise. Less noise makes it harder to hear and come see when you have enough problems already with out prying eyes and sticky fingers.
Getting energy efficient appliances and LED light bulbs is a huge help too. Where a 100 watt bulb could be replaced with a CFL that only used 25 watts, an LED can do that for 16 watts.
So for the cost of the generator and panel install you are only into this for $3000 to $6000, and if you want to go whole hog and spend $15,000 you can but use the additional funds to upgrade the INTERIOR of the house (less energy demand) instead of buying a bigger generator. That is a savings that pays off even when there isn't a storm.