Introducing new chickens

I have an issue with how I can introduce my 12 growouts to my existing flock of 11..
I used to only do 4 chicks at a time, so I could keep them in a cage in the coop for a while and they would know that’s their home
But with 12, I can’t do that I don’t have a big enough cage… so I’ll have to let them out into the coop freely
Is this going to work if I can’t keep them shut in the coop for a few days? I have to let my older ones in and out to lay eggs and also be outside.. I don’t want to keep them all shut in

Would I be able to put them in the coop and leave them access to at least the run area right away?