Read The Omega Men and Martian Manhunter. Neither are Batfamily, but I'm recommending them anyway because they're really fantastic.
For good Batfamily... Batman, the main book, is great. Gotham Academy is another standout, though it's on the periphery of the Batfamily. We Are Robin has been hugely enjoyable. When you wrap up Batman & Robin, proceed to Batman: Son of Robin for some great comics (after the first few issues, which were shaky). Nightwing was pretty mediocre, so skip that, but Grayson is amazing (you might want to do a little background reading beforehand).
Oh, and this one is important: Lil' Gotham. Came out in 2013, so you might have missed it. Utterly, utterly, utterly charming. Bruce as Batdad 100%.
There's plenty of "bastions of sanity," believe it or not.