Helena Bertinelli - Go - Keep the Birds together
Red Hood and The Outlaws - Go, just go - Gotham is a gun free zone and he has a team that can be undercover or out in space. He can carry his own city.
Harley and Ivy - Go - Harley already has a home and supporting cast in Coney Island and they're happier this way
Azrael - Go - I don't know him or what he does, but I know the answers to his church, so stick with them
Either
Damian - Both - His home is with Bruce, but he also has Teen Titans Tower and the Fortress of Attitude, he can be wherever he wants
Catwoman - Both - Someone's gotta protect the downtrodden while Batman deals with the big guns, but she can also take a break and visit the Sirens in Coney Island
Tim Drake - Either - Nothing wrong with staying at the Manor but he also has a duty with Young Justice.
Stephanie Brown - Either - She can go with Tim, Selina or Babs, but if she stays in Gotham she can be Batman's spy
Cassandra Cain - Either - Bruce or Babs
So to summarize the groups are
Batman and new family in Gotham
Nightwing in Bludhaven
Barbara and the Birds of Prey in Burnside
Batwoman and her crew go international
Red Hood and The Outlaws from the underworld to outer space
The Sirens of Coney Island
The Headmistress and her Spyral
Azrael and The Order of St Dumas
...
Okay there's something wrong if Nightwing is the only one solo when he has a full city to protect, but I'll think about it later