A couple of weeks back I lost utility power for a day and a 1/2 at my place following a Winter storm. I use my Honda 2800w inverter generator (cost me ~$1000) for about 6 hours to carry house loads (selected by me to run) and also charge the batteries through my AIO at a rate of 5a, 10a, finally 15a for the last hour since my other load needs were less. This required me to alter the max charge rate setting from Utility on the AIO. Teh genrator was turned off for the night and my batteries carried me til morning when the sun came out and charging happened.... a small 2kw gen or so running a ~$100 AC-DC supply seems far more reasonable as a supplement to solar for "grid-down" (storm, drunk driver hits a pole, etc)
One does not need to be elaborate with how they accomplish tasks or spend a fortune on overly complex auto response systems. The power goes out and you walk outdoors to the generator pull the cord until it starts. Hookup the plug to the manual transfer switch. Throw the switch and off you go. Watch loading to not exceed the supply. All this done with this marvelous device called your mind.