There are three main Bat-titles that DC publishes right now: Batman, Detective Comics, and Batman Confidential.
Batman is focused more on developing Batman as a character and telling the BIG Batman stories, like RIP.
Detective Comics is (obviously) more about Batman solving crimes. If you're a fan of The Animated Series, this is the title for you.
Batman Confidential is where DC tells stories from Batman's history; it's not a title that ties into the current happenings in the DCU. The story arcs are contained.
As for a starting point with Batman, I'd recommend grabbing the Batman & Son trade paperback. It's the first story arc in Grant Morrison's run (he's the current writer of the series). I think Club of Heroes is after that, and a few more story arcs that all lead into Batman RIP, which is the big story going on right now.
Detective Comics is more of a one-shot/two-parter book, so you're generally safe just jumping in anywhere, except for the current story arc, Heart of Hush, which is a 5-part sequel to Batman: Hush (which is available in two trade paperbacks; recommended). Heart of Hush just started last issue, so that's not a bad jump-on point either, so long as you read Hush.
With Confidential, you're pretty much all set grabbing an issue whenever a new story arc starts, because the story arcs aren't linked together; there are different creative teams and they take place in different points in Batman's history. The current story-arc is a really hilarious story about the first time Batgirl (Barbara Gordon) met Catwoman; it's three issues in.
There are a ton of other older Batman stories you can get, but I assumed you were asking about following the new stuff and keeping current with the character.
EDIT: Also want to stress: don't even attempt to read Batman RIP if you don't know what's been going on in Batman comics lately; you will get lost and hurt your brain.