Hi Urich,
Sorry, can't give a parts no., but can try and provide links so you get a visual. Just remember, these are all Australian websites, as that's where i live, but the parts should look similar around the world.
Also, if you don't have a moisture trap on the compressor, i assume that means you don't have a regulator either? Mine came with both (albeit, a poor regulator).
Finally, you'll just need to do a bit of a look to see what size fittings are on the compressor, you may need to buy some adapters to make everything fit.
Moisture trap and regulator: www.hobbytools.com.au/filter-regulator-with-moisture-trap-and-gauge
I'd put this on the compressor. Again, just need to check the connections.
From there i run a long air hose from a hardware store to this sort of moisture trap: www.bunnings.com.au/project-air-in-line-moisture-tap-_p6273009
I then attach the braided airbrush hose directly to this moisture trap.
Keep in mind, you don't have to use the middle trap - and in fact, to do so, you will have to toy around with a number of different parts such as these (www.bunnings.com.au/spear-jackson-project-air-charge-air-syle-fittings-6-piece-set_p6270155) to make everything fit.
I hope this helps. Let me know if you have any other questions.