I am powering all with a harbor freight 1500W (3000W max) inverter. This inverter pulls 2 amps (~48 watts) at idle with no load

First I tried the Frigidaire FRA052XT7. pulls 3200 watts when compressor kicks in. too much for my inverter. $99 at lowes.
next I tried the Keystone KSTAW05A, due to its great reviews. it pulls only 2640 watts when the compressor kicks in. Running with the compressor on, uses 720 watts (6 amps). Unfortunately, it doesn't like the "modified sine wave" AC the harbor fright inverter puts out. Compressor sounds unhappy, and the electronics whine. Plugging into the wall quieted it down. This would be a great unit if one wanted to spring $$$$$ for a pure sine wave inverter, or if you only camp with shore power. $132 at wal-mart.com.
finally i tried the GE AEL05LQ. When the compressor kicks in it pulls about 2500 watts, sometimes only 2200W. Running the compressor on "high" with high fan is around 5 amps (600 watts). Noisy but noise didn't diminish when plugging into the wall. Doesn't seem to care too much about modified sine wave power. $119 at home depot.
I wish I could have kept the keystone, as it is really quiet and smooth, but I'm not going to shell out an additional $300 for a pure sine wave inverter to make it happy. I am keeping the GE.
Since I'm too cheap to buy a generator, I plan to run my car's engine any time I'm running the A/C. I bought 20-foot 2guage jumper cables, chopped out 6 feet of the cable for the battery->inverter cabling, and then re-spliced the jumper cables (now 14' long). The cables cost $48 at oreilly auto; all other sources of 2 gauge wire were prohibitively expensive. Now I have my power leads, and a set of 2-guage jumper cables for $59 ($48 cables, $11 for terminals and butt splicers).
A nice clean way to attach the copper terminals (like these) is to fill up the terminal with electrical solder. Heat the the terminal with a propane torch until the solder melts. Next jam the wire into the terminal. Takes about 10 seconds and no need for a hydraulic crimper!
Hope some of this information is helpful to anyone thinking of buying one of these window shakers.