>>10450892A spray booth or similar isn't entirely necessary, but as dirty as mine has gotten over the years it was probably a good investment. Basic chinesium model pic related, probably available all over ebay and Amazon etc.
The mask is likely more of a concern. You want a half mask with at leats particle filters, but ideally organic vapour filters too. Around here that's be P and A rated ones, your mileage may vary. 3M and Sundström are both good, but do take a moment to think about where you will get new filters when deciding on a brand.
For cleaning the assorted stuff here
https://www.amazon.com/Ultimate-Airbrush-Cleaning-Pixiss-Needles/dp/B08BNG452N?th=1 is nice. (Again, some factory in China churns it out and it's sold by everyone everywhere so you can buy it from whoever) Add some Q-tips and a big bottle of solvent suitable for your paint (so white spirits I guess for you, denatured alcohol for acrylics). Maybe also a bottle of cellulose thinner/acetone if you really need to get shit cleaned out at some point. Clean both by spraying solvent through the brush, and by pinching the nozzle tip with your fingers (may require the outer nozzle cap's removal) to block it and then spraying to blast air back into the cup. To keep your local water treatment plant from putting a price on your head dump all the used solvents in an open jar out on the balcony or so to evaporate.
