Helix DBS-1000 specifically states "not" to run it on a computer type UPS system.
Right now my wife does the hot water bottle trick around the snakes since we have a gas hot water heater and she is a stay at home mom. I'm looking into wiring up our generator in an auto switching auto start type of set up. Proportional thermostats will run just fine on a properly tuned and maintained back up generator as long as you are running at low loads comparatively to what the generator is capable of making. Refrigerators, electric furnaces, freezers, electric hot water tanks, and anything using a large motor will cause small back up generators to droop in power when they kick on and spike in power then they turn off. At low loads these effects are reduced and electronics can deal with them. The best set up is using two generator one for your herp stuff and the other for the house if you are buying anything less than a 10 Kw back up generator in a small house. Keep all power useage to a minimum. If you don't have to don't open the frig or freezer. Lights to only what you need. As far as checking the generator out you need to make sure it is able to maintain 59-61 Hertz outputs during 25% load changes. If it can't do this it either has a problem or is a cheap unit. Voltage swings from 110 to 125 VAC are as long as it is over a 10 second time period the regulating devices in most electronics should be able to filter it out. These voltages should also be maintainable with 25% step changes in load.