Having them together is the largest space available is good at first. If they are introduced to their new coop all at once, that should work out well. Nobody owns it yet!
Mary
Yup, this!^^^
I have built a new coop and have two flocks of girls (6 total- 3 each group)
How old are these groups, in weeks or months?
How long have they ranged together?
How big is your new coop and run, in feet by feet?
Dimensions and pics would be good here.
These still apply:
The more space, the better. Birds will peck to establish dominance, the pecked bird needs space to get away. As long as there's no copious blood drawn and/or new bird is not trapped/pinned down and beaten unmercilessly, let them work it out. Every time you interfere or remove new birds, they'll have to start the pecking order thing all over again.
Multiple feed/water stations. Dominance issues are most often carried out over sustenance, more stations lessens the frequency of that issue.
Places for the new birds to hide 'out of line of sight'(but not a dead end trap) and/or up and away from any bully birds. Roosts, pallets or boards leaned up against walls or up on concrete blocks, old chairs tables, branches, logs, stumps out in the run can
really help. Lots of diversion and places to 'hide' instead of bare wide open run.