I've done it with portable pens ("chicken tractors") in the summer. I housed them all together in the winter, but did not hatch any eggs in the winter.
I've had times when one rooster ran with all the hens, and I only hatched eggs from the correct breed (that breed laid a different color eggs than the rest, so I could tell.)
I've seen photos of a long row of coops (like a row of dog kennels, but suitable for chickens: predator-proof wire mesh, perches to sleep on, feeders/waterers/nestboxes. They were in a warm climate, so they had roofs but did not need solid walls. That would not work during a cold winter, but could be fine in summer even in a northern climate.)
And of course you can use any style of chicken coop that works for you, and just house one group per coop. Do not let them out to free range together.
You need the hens separated from the "wrong" roosters for about 3 weeks before you start collecting eggs to hatch. Once you've collected all the eggs you want to hatch, it doesn't matter if you let them all run together or continue to keep them separate.