Introducing new chickens
Quarantine, then separated by wire, then combined
Keep them apart for thirty days, then separated by wire for a week, then put them together at night. Going slowly avoids most of the fighting.
Quarantine, then separated by wire, then combined
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The long version

Two things go wrong when new birds join a flock: disease you cannot see yet, and fighting you certainly will. Distance and time fix both. A month of quarantine handles the disease risk, and a week or two with wire between them handles the fighting.

Keep new birds in their own quarters for at least 30 days, far enough away that the two groups share no waterers, bedding, or air. Watch for mites, lice, noisy breathing, dull combs and unusual droppings. Do your chores in order, oldest flock first and new birds last, then wash up. A month feels like too long right up until the one time it saves your whole flock.

Put the new birds beside the run in a wire dog crate or a fenced-off corner, where both groups can see, hear and posture at each other without making contact. The flock does most of its arguing through the fence, and after a week or two the novelty and most of the aggression have worn off.

If you can, combine them somewhere neither group considers home, and clutter the space first with a pallet leaned on blocks, a couple of feed stations set far apart, and straw bales to hide behind. Places to escape to and a second feeder prevent more fights than any amount of supervision. Putting the new birds on the roost after dark is the classic method, because waking up together makes the morning easier.

Some chasing and sharp pecking is the pecking order being established, so let it happen. Step in if a bird gets cornered, if several gang up on one, or if there is any blood. Remove an injured bird straight away, because the sight of blood makes the others join in. Most introductions settle down within a few tense days. A pairing that does not settle may need another week with wire between them.
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