Just offering what we did in November 2005 with our first Prius:
http://hiwaay.net/~bzwilson/prius/priups.html
In April 2011 tornadoes wiped out the high power transmission lines in North Alabama. We had a 4 day, 6 hour power outage. Our Prius powered the house for lights, TV, and gas heater fan. Cooking and hot water came from the propane BBQ grill. We burned ~2 gal/day to campout in our house.
It is very important to load test the system on a nice day in case something goes wrong. Use a resistance heater or high power, adjustable light(s) for load testing. When the 12V sags to 13V, that is the constant power limit.
You will still have to deal with inrush and motor startup loads. This can best be handled by oversizing the inverter by 50% over the constant power limit. My experience is the 'surge' rating is useless. Your 12V battery can handle most surges.
Bob Wilson