Blackest Night/Brightest Day Continuity

[shimei]

So after putting this off for an inexcusably long time, I've finally decided to dive head first into the Geoff Johns Green Lantern series. i know this is going to be a long process, but hopefully I'll have fun with it and it won't be a chore to read through everything.

I recently purchased Green Lantern: Rebirth as I was told this was a good starting point to jump in. My question is, what comes next? Do I just go straight into Sinestro Corps War after Rebirth? And what's after that? Can anyone help me out with the arduous task of listing the continuity order of trades I'll need to catching up with the Blackest Night and Brightest Day series?