My brooder is in the coop, the chicks go in there straight from the incubator or the post office so they basically grow up with the flock. I have a fairly large coop (8' x 12'), over 3,000 square feet of room outside, and weather they can use that all day every day when I'm integrating. Mine are typically outside around the adults by five weeks.
That doesn't do you any good because you don't have those conditions so you have to do something else. To help us determine what might be good methods for you to use, what do you have to work with? In feet, how big is your coop and, in feet, your run? What does that pen you have them in look like? Where are they sleeping at night? How many adults do you have? In Maryland they are plenty old enough that the weather isn't an issue. Thanks for including your location. Photos of your set-up could be really helpful.
Since I don't know what you have to work with the best I can do are some generic suggestions. Housing them across wire so they can get used to each other can be a big help. Give them as much room as you can, inside and out. You can improve the quality of what room you do have by adding clutter. Clutter means things they can hide under, behind, or over to help break line of sight. Having widely separated feeding and watering stations, hopefully out of line if sight, can help. Try to not force them into tight spaces near each other but let them work those types of things out on their own terms.
My immature chicks tend to avoid the adults during the day and at night until they mature enough to join the flock as adults. Until them they stay away form the adults. During the day the adults may be under the mulberry tree while the chicks are under the plum tree. Or they are in the coop when the adults are in the run. If they are all locked in the coop together, like in the morning before I open the pop door, the juveniles are on the roosts when the adults are on the coop floor. My juveniles are not going to sleep on the main roosts with the adults, instead they find somewhere they feel safe sleeping. As long as they are not sleeping in my nests and are somewhere predator safe I don't care where they sleep.
My goal for this type of integration is that no one gets hurt. Nothing more complicated than that. Once they mature they'll join the others around the campfire toasting marshmallows and singing Cum-Ba-Ya. Those days will come when they are ready but in the meantime I just don't want anyone to get hurt.