And before grabbing adventures, I'd go further to suggest that you pick up at least two of the major sourcebooks:
Platt's Starport Guide - An in-depth look at several starports fit for the Fringe life. This is especially handy as it details a major starport on Ryloth, so this can be great to hook onto Long Arm of the Hutt.
Galaxy Guide 6: Tramp Freighters - The sourcebook matron for the Fringebound adventurer. This is the book that gave Han admirers their solid stake at the gaming table apart from the rebel groups. It's arguable that EotE would exist without this book coming on the scene back in '90. As a matter of fact, I think Mark Rein-Hagen and Stewart Wieck deserve special thanks for fathering this genre. Get either the first or second editions, they're near identical.
Start there, and with the adventures mentioned above. You'll have good gaming for a long, long time. I can provide more suggestions later if anyone cares for deeper elaboration.