Hi, for airbrushing, the most essential items you'll need are a compressor, an airbrush, and paint. The compressor is typically durable and shouldn't run out unless it malfunctions. Generally, it's not prone to breaking easily. As a beginner, you can start with a starter kit. Since 3D prints don't require high pressure, a compressor with a pressure range of 10-28psi should suffice. You can try out this kit, which includes the airbrush, compressor, and almost all the necessary accessories: Amazon Link
For a beginner's guide to airbrushing, you can refer to this link: Airbrush Resource Center