I want to get into DC comics.

Now is a good time to get into any series Ты like since the whole universe was rebooted nine months ago

OK, so first off, believe NOTHING anyone tells Ты about how "starting to read DC now because of the reboot is great", because straight up, IT'S NOT. As a person who has also recently began Чтение comics, I've got to tell Ты to look back before the New 52, because otherwise Ты will never know the old history. Plus, the New 52 messed up soooo much, (such as Stephanie Brown and Cass Cain not existing) and Ты DO NOT want to miss out on all the awesome parts of DC's past.
Luckily for you, Convergence will be coming out in spring, and because it is a major event, it shouldn't require Ты to read anything else besides the actual series in order to understand it. :3
Good luck with comic reading, and if you're female, then take an extra heap of luck (for all the greasballs who will try to flirt with Ты in comic book shops :P)