Thanks to fishfarm, I solved my problem of how to remote start a 3 wire generator from a 12V high/low signal off my inverter.
He suggested these time delay relays, available online here for $17. They come in a neat plastic box, which I put to good use

Here's a picture of the original relay in my distribution box. It worked to remotely start and stop the generator but because it left the stop contacts closed all the time, it drew down the generator starting battery overnight.

Here's how I used that plastic box. The relays came with nifty double sided foam tape on the back of them. Into the box they went. The top one drops the start button signal out after ten seconds, the bottom one drops the stop signal out after ten seconds.

Here's the LP 4500W generator, wired up and waiting for me to need it. I hope not to need it very often.

Here's why this is so important. When it's five below and has been snowing for two days, I can call my daughters and get them to push the button without having to get off the couch!
