the AC by itself will probably need about 3,000 watts. If you are going to use the microwafe and AC together I would go with a 4,000-5,000 watt generator. On both appliances the start up load can be a lot higher than the running load.
The Honda EU series is very popular, due to the quietness and the cleanness of the power. I was able to run my AC off of my EU3000, although I had to install an 'easy start' kit in the A/C to do that. I can run the microwave as well, but only after the A/C is running. Many people prefer 2 EU2000 2000 watt generators with a connection cord, providing more power in a smaller, more easily managable (but easier to steal) package.
If size/weight is not an issue, Yamaha has a competitor to the EU3000 which uses the starting battery to provide a 'boost' to the power capability, making their 3000 watt generator more like a 3500 watt generator.