GSI Creos PS-289. 80$ on Amazon, or 120$ on SprayGunner (assuming you're in the US)
Iwata Eclipse HP-CS is also a standard beginner recommendation, and that's what I started with, however Iwata makes the brushes for Mr Hobby and you get similar performance at essentially half the cost.
https://www.amazon.com/GSI-Creos-Procon-Platinum-Airbrush/dp/B0030AO94U?th=1
Awesome brush, great price. Cannot go wrong with this.
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https://www.amazon.com/Timbertech-Professional-Upgraded-Airbrush-Compressor/dp/B07VT2F5N9/
Basic compressor with air tank + moisture trap. Don't need anything fancy here.
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Whatever spray booth fits your budget.
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Cable etc.
Unless you have tried both and prefer the gun trigger, I would go with a standard top mounted dual action trigger. The GSI Creos PS-289 is a popular beginner choice. Review.
I collected a bunch of airbrushing resources here that may help.
Item | Current | Lowest | Reviews |
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GSI Creos Mr. Procon Boy WA Platinum Airbrush wit… | $111.15 | $111.15 | 4.6/5.0 |
^Item Info | Bot Info | Trigger