The fall out seems to vary from title to title going from the "I need space" to the extreme of family members ignoring Bruce. The worst two seem to be Barbara and Dick, something that seems a little petty on their part after Damians' death. On the flip side Joker actually took things too far with Jason which resulted in Bruce and him reconnecting.
How writers try to mesh the aftermath of DOTF and Damians' death hasn't been that great. It's one of the reasons I'm looking forward to Batman and Robin since everyone will be reacting to the latter. Since Barbara and Dick haven't been that fond of Bruce lately it will likely be the first time since either event that their try to comfort him.