Wait til the babies are nearly as large as the flock they will be joining.
before combining the flocks, separate them with chicken wire so they can see each other but not get to each other. You can do this in the run or the coop. After a few days, start sprinkling scratch near the wire separation so they are feeding very close to each other. when they start ignoring each other, start to prep the coop and run you are moving them to.
There should be sufficient room as lazy gardner said above.
Make sure there are areas to hide in both the run and the coop- you can put boxes, bins, hay bales, etc to create areas out of sight. Multiple heights help as well.
The older flock may not allow the younger ones to eat or drink, so provide multiple waterers and feeders.
One way is to let the two babies explore the run before you let the older ones out - give them a couple hours to explore and get familiar with it (this is after you have added some obstacles to hide behind). Then, pick up the babies, let the flock out, and shut the coop up, leaving the babies to explore inside for a couple hours. THis should be after they have had a week or so of being in sight of the older chickens, and hopefully right next to each other just separated wtih chicken wire.
Then open the coop so the babies can venture out, and be sure to watch. Expect pecking. THe little ones will run away, that is fine. Keep a handful of scratch, and if there is more than mild pecking, distract with the scratch.
You will need to supervise at roost time as well for a few days.
If they are sufficiently used to each other because you allowed plenty of time to become aclimated by side-by-side living separated just by wire, it will go much easier .
If you cut corners and just toss them together, you risk injury (yes, it happens, blood can be drawn)
If you are right there, you will be able to rescue the babies if needed, but grit your teeth and try not to intervene unless you have to. Again, get them used to each other before combining them.