While I don't play banjo, I do play the mandolin, and have worked with several banjo players, including Dave Sear. While Gibsons or Fenders are decent, I recommend Deering. They're not much more expensive, and it's a big name in the banjo/bluegrass community.
Clawhammer is a more old-timey sound than Scruggs picking, which is the stereotypical banjo fingerpicking. Earl Scruggs and Lester Flatt, two of the forefathers of Bluegrass, are a great group to listen to to learn about the banjo. Steve Martin's band is a bit more accessible, and features a bit of both clawhammer and Scruggs. I recommend using fingerpicks either way. The guy in Trampled by Turtles uses a flat pick which is just nuts if you ask me. Unless you're just looking to do the Avett Brothers strum....
This is a great community of banjo players, I go to mandolin cafe which is a similar forum and the people there are very very friendly and helpful. Look around a bit.
Hope that helped a bit!