OK, I know OP lives in Texas, which is hot and humid, but running A/C in a grid down is a flipping
luxury not a necessity.
Figure your needs to include a couple of nice box or pedestal fans, running the Refrigerator and freezers, and some task lighting, maybe the microwave, well pump, anything that is critical.
As cruel as that sounds (and yes, Texas is sticky hot) humans have lived without A/C for longer than with A/C.
Propane-Natural Gas conversion involves a different orifice in the burner and sometimes a different vaporizer/regulator unit. Normally it's not a 'hard' thing to do but if the genset doesn't offer a propane alternative you may need to do some digging in parts catalogs to find conversion parts that will be suitable. It's not that hard to figure out but it can be more than a phone call to attain.
First question to ask is, "Do I need 240-volts?"
If yes, you are automatically going to have to step up to the over-6kW class of generator. Home A/C is pretty much going to require a 240-v source.
If you can keep your needs to a 120-volt source you can go with smaller, quieter and more efficient units (also cheaper).
Small generators, under 4kW, are a crapshoot. Most of the home improvement store units (Generac, Homac, Powermate, etc) are all Chinese made units. The weak spot is the generator head itself. A lot of them are non-repairable.
The Chinese have cloned the Honda GX engine and it's usually such a good copy that Honda parts will fit it. Avoid the Briggs & Stratton or other US-branded motors...while they are not BAD motors, the Honda clone (if it is a good one) is actually a better choice IMHO from a lot of tinkering with small engines. There are literally a Brazillion of these on construction sites and tool rental stores and back sheds all over the world and parts are everywhere.
Next up I would say the Subaru/Robin engines. They've really spread in the US sphere. They were very popular in Asia, but again, Chinese efficiency has made them cheap and reliable. They aren't Hondas but they are close.
If you want big power (like 8kW or above) the Onan and Kohler are the big names.
Stay away from Briggs and Stratton, Kawasaki, etc.
Good for bargain lawn mowers, not good for 24/7 run time in my experience.
http://www.amazon.com/All-Power-America ... B0018E1XQ2
I'm talking about units like this. Total power output is limited to a single 20-amp 120-V circuit.
http://www.zoro.com/i/G7610985/?utm_sou ... 7AodzHEAlQ
120/240 volt unit. 5kW continuous, 40/20 amp.
I'll also recommend the bigger Diesel generators if you can find them. The Chinese also clone the Yanmar L-series Diesel engine. These are still not as good as the Yanmars I've worked with but they are not bad. The advantage of Diesel is the fuel stores so much better than gasoline and you can burn more choices of fuels if you need to- kerosene, heating oil, jet fuel, waste veggie oil, transmission fluid, etc.