Now, in addition to the official Twilight Saga Facebook page, you can also like the individual official pages for each of the films.

TWILIGHT - http://www.Facebook.com/TwilightMovie
NEW MOON - http://www.Facebook.com/NewMoon
ECLIPSE - http://www.Facebook.com/Eclipse
BREAKING DAWN - http://www.Facebook.com/BreakingDawn

And you can also like the individual official pages for the three main characters!

Bella Swan – http://www.Facebook.com/BellaSwan
Edward Cullen – http://www.Facebook.com/EdwardCullen
Jacob Black – http://www.Facebook.com/JacobBlack

Source: Team-Twilight