A couple of things I see with the plan and the set up you have now, and maybe a different idea.
First - Space in the coops tends to be the limiting factor, there is a tendency to think that more space outside of the coop can make up for too small of coop space - but then comes winter with long nights and short days. All of a sudden you have birds going to roost by 4:30, and not getting off the roost until 7:00am. A long time to be crowded.
Your coop set up would be good for 20 birds. 12 birds in the big set up, and 4 a piece in the two smaller set ups...if you have all hens. IMO roosters need more room than hens.
As for my idea - gives you a strong flock, a variety egg basket and easy way to track who is laying and who is not.
Start with 4-5 egg colors, so 2-3 birds of a breed that will lay those colors - so a white egg, brown egg, green egg, blue egg layer. To get you up and going, colorful egg basket in 4 months. Go ahead and get enough to fill the smaller coops too.
Get one of those breeds as a straight run group. Sure to be a rooster in that....that is the eggs you hatch that year. Change out the rooster in the next year, for a different color egg.
The beauty of this system is that when you collect eggs over the years, you will be able to see which group is slowing in their egg production. When the white eggs start showing up less in your basket, well that is the time to replenish that breed.
I have always wanted to try this, but never the patience or the wish for that much breeding.
I do think that the number of roosters you seem to want will work out...until it doesn't. Then it can be a pretty ugly wreck. Have a plan B, C, and D up and ready to go. Have a chicken hook or fish net so that you can separate fighting birds.
Mrs K