Your airbrush sounds like the Badger 360. Can you confirm this? Here's a pic:
Almost any dual action can spray a fairly fine line, but the 360 offers some challenges because of its dual gravity/siphon design.
It won't be able to spray as fine a line in siphon mode as that requires greater air pressure just to pick up the paint, so only use it in gravity mode.
To spray fine lines you need to lower your air pressure and get up close to the model. Don’t try to pull the needle all the way back, you’ll only want to do a very short travel. Practice on a scrap model, and practice lots!
It's difficult to control the air pressure with propellant cans. You might be able to fit a regulator inline, but they won’t keep the pressure as the can empties, and I strongly recommend saving up for a “real” compressor. They don’t have to be really expensive. I use a 3gallon pancake “garage” style compressor that was well less then $100. This is similar to mine:
http://www.harborfreight.com/cpi/ctaf/displayitem.taf?Itemnumber=95275
It’s loud, so if you live in an apartment you’ll need a quieter one, or really understanding neighbors! Here’s another that’s a bit quieter:
http://www.harborfreight.com/cpi/ctaf/displayitem.taf?Itemnumber=92403
The problem with this style is the single piston action can cause pulsing. One with a tank is better, but they tend to be over $100:
http://www.airbrushcity.com/comp45/ and see the second compressor on this page. The tank settles the airflow and eliminates the pulsing action.