I vote for getting them into the coop by 3-4 weeks. I section off a corner of the run, with a shelter in it. Put the chicks in that, and feed and water them there. I call this the safety zone. Fist week I keep it so the chicks can't get out. Second week, lift the fence off the ground, so as the chicks can go in and out, but a big chicken cannot follow them.
This puts all the control into natural chicken society. It pulls the humans out of it. Gradually the chicks will explore outside of the saftey zone, the chickens may give a little chase or a peck and the chicks will retreat (which is what a lower chicken in pecking order does) to the safety zone.
In a week to 10 days, the chicks will be running all over, and the hens ignore them most of the time. An occasional mind your manners peck or stance.
However, my run is cluttered, I have mini shelters in the run, I have roosts, and platforms and hideouts in my run. These allow chickens to get away from each other, and get out of sight of each other. I have multiple feed stations each positioned so that a bird eating at one, cannot see a bird eating at another. With chicks, long after I have dismantled the safety zone, I feed them under a low pallet just 6 inches off the ground. A hen can get there, but it is slow and uncomfortable, and most will eat at an easier station, leaving the feed for the chicks.
Mrs K
ps - that will be a lot more chickens - are you doing a bigger coop?