I have Schneider's Conext SW4024, which I am VERY happy with. It makes
native split-phase 120/240VAC, and has built-in generator charging. It's a very robust inverter that has powered a cement mixer, 1.6hp air-compressor, and a 7" circular saw, all at the same time. If you want to mate it with a generator though, you need to get the optional COMBOX, or have a laptop for communicating with the unit's software, to calibrate the generator horsepower to the inverter.