Brad, you have the answer about that generator.
I use a 3 phase PTO generator for my emergency power here, and for powering a couple of very large stationary tools that I bought after I ran inadequate wire to the outbuilding. Works great for both the 3 phase tools and the house, electronics included.
You do need to know what to connect to what however. My generator I got cheap from a country store whose "electrician" hooked up his cash registers wrong and fried them. Not once, but twice. A $3 Harbor Freight volt meter would have solved the problem if his "electrician" had a clue, but I didn"t tell him.
If you have a cheap opportunity for a different generator, come back and ask. Just "hots and a neutral" isn"t enough to go by. That"s how I came by my generator cheap.