I had really hoped that Tim would become Batman, because he did deserve it and was the right successor. But in the context of Battle for the Cowl, it makes sense that Dick would take it up in order to protect Tim and give Damien a mentor.
The only person I really cared what happened to is TIm. I don't mind that he's Red Robin, but I hope he either gets a better costume or becomes his own hero later on. And that he doesn't spend all his time trying to look for Bruce.