Single actions are easier to clean as they only have basically three parts that need cleaning, unlike double actions where you'll occasionally have to teardown and clean the air supply side (button and valve). Paint will creap back along the needle and gum up the works.
Don't let this sway you from looking into a double action, the rewards are worth it. A single action is nothing more than a spray can with a hose and a container to hold the paint...push the button the paint flows...the flow rate is controlled by adjusting the nozzle and air pressure (controlled at the compressor regulator) to the brush...spray pattern is controlled by distance from the object.
The double action allows you to control paint flow by trigger action versus turning the nozzle adjustment. It also allows you to control the amount of air (volume) by pressing the button...the air pressure is still controlled by the regulator on the compressor.
With a single action each time you press on the button you have the preselected amount of paint flowing from the nozzle just like a spray can offers except the airbrush allows you to adjust this volume whereas you can't with that plastic nozzle atop of the can.
The double action allows you to blow air without spraying paint. The paint doesn't begin to flow until you 'pull' the trigger. This feature helps blow away debris before applying paint as well as aid in drying after paint has been applied.
Both have their features and benefits. Both have drawbacks but you'll find the double action more versitle and rewarding with use and practice. If your not going to do a lot of 'fine or intrecate' work, then start with a single action. It's a perfect transition from spray can to airbrush choice. If you're ready to enter the advanced realm even as a novice, then look at a double action.
It's like learning to drive a car with an automatic trans, then being asked to drive a stick for your exam. Doable but very difficult. If you had learned to drive a stick and tested in an automatic...it would been a breeze. So, my vote is a double action if it is within your budget.
Speaking of which...HL routinely has 40% off coupons and they do sell airbrushes...Badger, Paasche and Iwata.