I have a Honda 3000 and love it, but I would think the Yamaha would be good as well. You can run the AC and the microwave but not at the same time. Usually not a big deal just flip the AC off for the few minutes you need to run the microwave.
Not familiar with tirewarmers. But if they require 1500 W a Honda or Yamaha will put out close to 3000 W at peak capacity.
2011 Chevy Silverado Crew Cab 4X4
2009 210 WBS