Be careful about what kind of generator you get when you shell out big coin for a 5000 VA unit if you want to run sensitive electronics on it (computers, stereos, etc.). Most generators in this range that you see for about $1000 US are optimized for running motors and "contractor-type" tools. They are designed for optimum efficiency and portability and thus their outputs more closely resemble square waves than sine waves. Also, because the 60 Hz. line frequency is determined by the number of poles that the generator has and the RPM that the generator turns, the governor on the engine only regulates line frequency, not line voltage. As such, a 120 V rated generator, when under light electrical load, may produce upwards of 140 V which can be a significant problem for some electronic devices.
If you want to run electronic devices off of your generator, you should be looking at one with a "low distortion" output as well as an electronically voltage regulated secondary. This regulator effectively separates engine speed from output voltage level, giving you both a constant line frequency and output voltage at the same time. The bad news is that such a generator costs a little more than the non-regulated type. My liquid-cooled Honda 6500ES is flat rated at 6000 VA and has such freatures, but cost about $2700 US from Northern Tool.
Good luck, and glad you're OK.