I really had no idea that anyone didn't like Snyder's Batman. I mean you can have your own opinion, I just think everything Snyder has written has been phenomenal. Looking forward to his take on Superman. But seriously, if you ever have seen interviews with him or anything you'll see that it is impossible to hate the guy. Incredibly humble.
Batman is the best of the DC relaunch in my opinion. It's really the only book that I really cant wait to know what happens next month. The Court of Owls are the best new villians that have been created for Batman in years. Scott Snyder keeps the story fantastic, and Greg Capullo has some really great and consistent art. This being said I dont exactly get many books a month, and they are all DC, but I believe that Batman is the best book out there right now.
You're defiantly gonna want to start with GL:Rebirth, if you're new to the mythos. It explains everything really well, and is a great jumping on point for anyone. It sets up all the current plotlines. After Rebirth, you can start going in order of the trades, or skip to The Sinestro Corps War. This is one of the best GL storyarcs, and also give you some insight on Sinestro, the current GL. After this you could go to Rage of the Red Lanterns, and Agent Orange, or skip to Blackest Night. Hope this Helps! -OUTLAW-