Help! Introducing 13 chicks to 1 brahma cockerel--need advice

[OneBrahma]

We have one brahma cockerel who is almost 14 weeks old. He has been living alone for around two months since his flock was wiped out by a bear. We've got 13 almost-4-week-old chicks as replacements. They're hopping out of their brooder box and making a mess in the garage, so we're ready to move them into the coop!
Now, the cockerel has been spending nights in a cat-carrier (he runs around during the day) ever since the bear wrecked the coop. We're just getting around to preparing the coop this week. My question is, how do we introduce the 13 chicks to the cockerel, while moving them both to a new coop?
My guess is that it wouldn't be smart to do both simultaneously. It would be easier to move the chicks to the coop, and while we wait for them to get over the stress of that, continue to keep the cockerel in the cat carrier. In all the cases I've read about introducing chicks to chickens, it has been moving chicks out of a brooder box into a coop already inhabited by well-established chickens. Would it work to put the cockerel into the coop after the chicks have been there for a week or so?
Just on a side-note, the chicks are mostly feathered out, except for their necks and heads.

 

[Silver Silkie]

I think you are going the right way.