Jurgen, if you can find one with a tank you would be better off. The motor will run till the tank is full, and it will restart once the pressure in the tank drops to a point you set. I have a five gallon tank, that when filled, lets me do a complete spray session without having to restart. So, you'll only have to deal with the noise while it's filling. It's nice and quiet while spraying.
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A moisture trap and a regulator are must haves for any air set-up you have. Most tank set ups come with a moisture trap and a regulator. Most tanked compressors allow a max of 100 psi! You will never need that kind of pressure for air brushing. I spray comfortably at 14 - 25 psi.