whatever you do, make sure you isolate the genny from the grid when it's running otherwise you will give linemen severe jolts. If you weren't moving, my bet would be a Generac that self starts, and have lines that run to an auto switch to isolate from the grid.
Otherwise, Honda or Yamaha. I have both a 1000 and 2000 Honda but think the 1000 would struggle with the load you want to run.