There's several good YouTube channels with folks who compost with chickens. Edible Acres is one. Porterhouse and Teal is another.
Piling up the compost will make things go faster, if that's a concern. I'm typically creating compost that won't get used for 2-3 years out at this point. So, by...
The idea of swapping the garden and run off every year is a good one. The chickens will eat a lot of weeds, seeds, and pests from the garden, and add a ton of fertility.
If you're concerned about adding the manure in the compost direct to the garden, try putting the compost in the garden in...