Well, that should be DC's focus. It's easily their most popular franchise and their experiments with various other franchises have revealed that they just don't work on film.
It wouldn't be too difficult to connect them - just lift elements of Battle for the Cowl, Batman RIP and Night of the Owls: in the aftermath of a Joker attack, Jim Gordon is dead and Batman is missing. Barbara Gordon is promoted to commissioner, and decides that Gotham no longer needs Batman; GCPD should be able to handle threats posed by supervillains. In the meantime, Nightwing, Red Robin, Red Hood, Damian Wayne, Bluebird and the Spoiler struggle to maintain order in Gotham while they search for Bruce Wayne. However, their efforts are thwarted by Owlman, the Court of Owls' enforcer. It is ultimately revealed that Bruce Wayne is Owlman, having been abducted by the Court of Owls and subjected to mental re-programming with mild doses of Venom (for strength), fear toxin (to boost adrenaline production), Joker venom (to separate him from reality), and Jervis Tetch's mind control technology (to reprogram him). This awakens the Batman of Zur-el-Annah, Wayne's subconscious attempts at rejecting a psychological invasion, but this is the master plan of Lincoln March: to awaken the Batman of Zur-el-Annah and use him to wreak havoc against the Court of Owls. The rest of the Bat-family must find a way to break March's hold over Waynd.