If you're going to get one of those airbrush kits off Amazon skip the cheap portable compressors completely, and make sure the one you get has a tank. Without a tank you'll get constant surging of the air pressure, and if you're anywhere humid you'll end up spitting water even with a water trap. You can use a standard garage compressor and tank but they are much louder than an airbrush compressor which is made to be used in the house.
The airbrushes included in those kits are alright for general purpose use but aren't the greatest for fine detail. You can grab a Neoeco SJ83 for about $40, it is very well reviewed for the price and I just got one but haven't got to use it yet. If you want to spend a bit more you can get a GSI Creos, or Gaahleri Mobius in the $90 range. But since you're thinking going all in and building an addition to the house you might as well just get an Iwata Eclipse which is pretty much the Benz S-class of airbrushes.