Welcome back to the hobby, Gio!
As far as airbrushes go, I'm using a Paasche VL, a double-action, siphon-fed brush, and I'm generally happy with it. I use a Craftsman 1.5 hp compressor with a 3-gallon tank. It's noisy, but that's not an issue for me, and I selected the specific model, because I can use it with air tools (like a box nailer), as well as with my airbrush. A buddy of mine uses a gas bottle, and just has it charged (filled) every so often, instead of using a compressor. Shop around, including online. I would get a compressor that will hold up well and last, even if the airbrush you buy may only be a starter.
And if I may offer a tip, if you airbrush Tamiya acrylics, use Tamiya's proprietary thinner (X-20A). Believe me, I tried other things, primarily out of Dutchiness (cheapness), but found that with water or with isopropyl, the paint would clump. Tamiya's paints are formulated for airbrushing, and so it made sense to me, finally, to try using their thinner, and I've no problems with their paints, ever since. Some also recommend using lacquer thinner, which results in an absolute dead-flat finish. I've tried that, too, and it works, but I generally use Tamiya's thinner.
I look forward to seeing your Tiger build, and your other builds.
Best regards,
Brad