I've heard from several people whose opinion I trust that Hal and the GL is great for GL by Johns fans. The only thing is that I've heard it continues some status changes that happened BETWEEN the end of Johns run and the beginning of the Rebirth series. So you may at least want to just read up on things that happened.
Also, I highly recommend Red Lanterns by Charles Soule and Sinestro by Cullen Bunn. Both are post-Johns and both are GREAT.
For the Bat Family books, Detective Comics, Batman, and Nightwing are great. Don't know anything about Birds of Prey, Batgirl, or Batwoman. People were super excited about Batwoman and don't talk about it much now so it may not be great.