The setting and system aren’t familiar to everyone, so I’m going to put some of the good places to start here.
As far as Fallout is concerned, the events of New Vegas and Fallout 3 are from the same general timeframe as the setting in Crescent City (and consequently the most pertinent to this campaign), but reading up on the other games won’t hurt. The Fallout Wiki is a good place to start if you want to catch up on things.
Fate can be kind of a lot to wrap your brain around at times for new players, especially since the rules are far more fluid than most other mainstream rulesets. That said, the community on G+ is very active and a great resource to new players. I’m going to put a few links to pertinent conversations culled from there and from blogs and other sources. I’ll continue to update these, and add your own if any of you find any good ones that really helped to clarify things.