I'd approach this problem a bit differently.
I wouldn't go with natural gas or diesel. I'd go with a gasoline powered generator so that I could keep a supply of gasoline on hand, and if I didn't use it in an emergency for the generator, I could always use it in my car for non-emergency driving. Oil companies change their formulations from summer to winter for easier starting, and you don't want to be trying to start your generator in summer with winter fuel and vice versa. Going with gasoline will allow you to use old fuel in your car if you don't use it in an emergency.
I'm thinking that you might want to allow for 1500 watts for a fridge and another 1500 watts for a freezer. 400 watts for a circulating pump or blower on your house's heating system (and the control system on a typical house is typically powered by a 40 VA transformer, so maybe allow for another 40 watts for the heating controls). Another 500 watts for a sump pump and say 1000 watts for a microwave oven or hot plate to cook with OR watch TV news reports with OR plug your car's block heater (count on 100 watts per cylinder, and after 4 hours your car's engine will be as warm as it's gonna get; any longer and you're just wasting electricity) in during really cold weather OR wash clothes in your washing machine with.
If you switch over to compact fluorescent lighting now, then another 100 watts will be enough to allow for 8 lights burning simultaneously, and that's way more than anyone needs during an emergency.
That adds up to a total of 5000 watts. But, if it was me, I'd increase that by 50 percent to provide plenty of headroom for unanticipated loads (like a pair of electric water pumps to pump out the water that leaks through your sandbag dyke or to operate a few wet/dry vaccuum cleaners to remove the water from your basement). However, a 7500 watt generator will probably only provide 120 volt power, so you're not going to be able to use any of the 220 volt appliances in your house like a stove or electric dryer.
Here's a diesel 25 kilowatt generator that'll only cost you a mere $21,000 before taxes:
Multiquip Ultra Silent diesel generator model DCA-25USI2C
And here's a gasoline powered 7,500 watt generator for $700 that will fit in your garage:
Amico - Amico 7500 Watt Gasoline Generator w/ Wheel Kit & Electric Start - AH-7500E #AH7500E
Personally, I think the 7500 watt gasoline generator would be the more practical choice unless you're house doesn't have electrical service and you're going to be relying on this generator for all of your electrical power needs indefinitely.
PS: Can't keep a gasoline powered generator inside your house? You need to learn how to deal with the fire inspectors. I kept a gasoline powered snow blower in my boiler room for years, even when I had both a pilot light on my boiler and a pilot light on my water heater. I just showed the inspector that the plastic gas tank had been removed from the machine, drained, and is kept in another room. I only put the gas tank on when I need to use the snow blower. I expect no one would have any problem with your keeping a gasoline powered generator in your house if the empty gas tank was in your garage. All you have to do is splice a tee into the gas line from the tank to the engine's carburetor, and have a valve on the line coming off the tee. After using your generator, put the gas line the valve is on into a gas can and open the valve to drain all the gasoline out of the tank. Run the engine just to use up the gasoline in the carburetor so that you won't have a problem starting the engine with the old stale gasoline next time. An empty gas tank won't weigh more than 20 pounds, tops.
You should also find out what the requirements are regarding transfer switches. In the little bit of looking I did on the internet, all the transfer switches I saw stated that they were for generators of 7500 watts and above. Find out if you can get away without a transfer switch if your generator is less than 7500 watts. (I'm just guessing that without a transfer switch, you might just have to connect the output of the generator to the 50 amp receptacle for your stove for distribution of power throughout your house.) In that case, you'd have to have your generator outside (maybe in a ventilated enclosure), and have a cord rated at 50 amps connecting the generator to the receptacle from your stove (which connects to the main electrical panel of your house). That would allow power from the generator to be distributed to all of the electrical circuits in your house so that all of the lights and wall switches would work the same way as normal.