Couple 'o points.
Is the well pump the absolute only thing using 220-240 VAC? If so, and you want to be able to use a 110-120 VAC generator for backup, then I think you will have to replace the existing well pump with a 120 VAC model. If there are any other household devices that use 220-240 VAC that you want to be able to run using the generator, then you'll have to get a generator that can output 220-240 VAC.
Next, if your existing 3/4 HP 220-240VAC well pump typically only runs for about one minute in an hour, I think your pump is just a wee-bit oversized.
You could change to a 1/2 HP 120VAC well pump. Just check the specs on the max lift of your existing pump versus the actual required lift and flow rate versus the specs of a possible replacement pump.
Also remember to check the wiring to the pump and verify that it is adequate for the distance and amp demands. Unless you have some really-really-really long distances involved, 14 gauge wire for a 1/2 HP 110-120V pump might be adequate and 12 gauge wire should be just fine.
Next, in combination with changing the well pump, you could change your pressure tank(s) to have more capacity in them also. Result is more stored water before the pump has to turn on, but then the pump has to run longer to refill the tanks(s).
Next, even a 1/2 HP 120VAC pump will take most, if not all, of the available generator capacity of a 2000W-class generator at start-up. How much interaction and switching of plugs/cords/devices do you want to tolerate with your set-up? Do you want to be able to feed generator-produced 120V into your house and be able to judiciously just turn things on when needed in an 'emergency' situation? If so, you need a transfer switch/box wired into the main circuit panel.
Do NOT-NOT-NOT-NEVER-NOT-NOT-NOT back-feed a generator into a house's wiring!! It's dangerous to do so, to your wiring, the generator, and utility workers who would be working on the lines trying to fix the problem that caused you to start-up the generator in the first place. The danger to the wiring is possibly feeding excess current into a branch circuit and overloading the wiring in the wall. The danger to the generator is when the main AC power comes back on and feeds back into the generator if the circuit breaker panel main disconnect breaker is still connected.
Only use a transfer switch/box to feed generator power into a house. Or use an individual cord-and-plug arrangement for each device powered by the generator.
Next, remember to allow for start-up surge demands when sizing your generator needs. Most AC motors will have a start-up surge of about twice the running demand. So a typical fridge/freezer with an 800 W run-time demand will need about 1600-2200 W at start-up. So a 2000W-class generator will -just- be able to handle it with some minor other things going as well (a few lights to see, etc). If/when the fridge and the pump kick on at the same time and you have everything enabled at the same time on your transfer switch/box, OOPS!
If you want to have the house receptacles and devices running pretty much as 'normal' while using the generator and transfer switch/box and not have to worry about manually opening/closing individual branch circuit breakers so that only limited branches are live at a time, you pretty much need to move up in capacity from the 2000W generators to the 4000W+ machines to run a household. IMHO. The 2000W-class machines can run most common household devices, but can only run one major household thing at a time.
You have to decide how much:
- you want to spend
- you will put up with transferring cords or branch circuits around
New generator - $500-$1000 or so, big whole-house units will be more
Transfer switch - $300-$500 plus installation
New 110-120VAC well pump - $500-$1500 plus installation
See
http://www.backwoodssolar.com/Catalogpages2/pumps2.htm for some 110-120 VAC well pumps.