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I had trouble with the kind of airbrush/compressor that @Sumo suggested but it was second hand so could have been that, I know that a lot of people get on well with them.
I know that a lot of people use this compressor: https://www.scalemodelshop.co.uk/as18-2-airbrush-compressor-as18-2-p17367/
and generally as long as you get a dual action brush you should be alright, if you're on a budget, can always upgrade later. A lot of people keep their beginner brush for priming and get a fancier one that they use for other stuff. .4mm needle+nozzle is a good covers-everything size.
I think open window and a good respirator are worthwhile. Acrylics aren't dangerous to consume generally but it's really best not to breath in stuff that's not air.
I have this: https://elementgames.co.uk/paints-hobby-and-scenery/Airbrushes-accessories/airbrush-and-compressor-bundles/cult-of-paint-workhorse-bundle and have been very happy with it, but understand it is a little $$$ for some to commit to as a first set up.
Can anyone recommend a basic/beginner airbrush that doesn't break the bank? Initially it'll just be be for priming and base colours. Spray cans are expensive and clog up wasting paint inside :(
Also are spray booths, respirators, extract fans etc all necessary for acrylics? Reading conflicting things online and all the associated paraphenalia would make it significantly more expensive. If I get properly into it then I can justify it but it makes the cost of entry significantly higher.