I don’t know how much you know about composting. Basically microbes eat carbon (called browns) and convert that into rich dirt, using nitrogen (called greens) for energy. To do that they need a certain moisture level. If it is too dry the microbes cannot live and reproduce. If it is too wet the microbes cannot get enough oxygen so a less desirable type of microbe takes over and turns everything slimy and really stinks. So moisture level is important. In your chicken wastes, the manure is the greens and the bedding is the browns. There are certain ratios of greens and browns that are optimum, but any mix will eventually break down as long as the moisture is right. Really high proportions of greens often make it harder to control the moisture though. There is some trial and error involved in learning what works for you. You don’t mention where you are located, your climate can play a part too. Are you wet or dry or what are your winters like? What do you use for bedding? We all have to find our own tweaks.
As OGM mentioned, the deep litter method is one way to do this, either in your coop or in your run. That’s definitely worth considering, in your garden like that you can just toss garden wastes into the mix. Your chickens will eat what they want and the rest will compost. But the key is moisture.
I don’t use the deep litter method, my coop is too dry. I use wood shavings for bedding and use droppings boards to collect pure poop. I collect the pure poop from the droppings boards and put that in my conventional compost pile. I have two compost piles, one is the working side and the other is the bin I use to collect stuff (poop, garden wastes, kitchen wastes) for the next round of composting. When the working side is done I bag it up in chicken feed bags and start another round.
I don’t clean my coop out every year, with the droppings boards, relatively low chicken density (I have a large coop and don’t overcrowd it so I don’t have a lot of chickens pooping in there), and by keeping it dry I don’t have to. But when I do it is late fall. I put that in my garden and till it in. By planting time, usually about this time of the year, it has broken down and I can safely plant in it. I do not put it on the side where I’ll put my cool weather stuff, the cole crops, carrots, beets, peas, potatoes, early greens, stuff like that. Those usually are started in February here. I put it where the tomatoes, peppers, beans, corn, sweet potatoes, things like that will go so it has time to break down.
I believe anyone that gardens needs to have some sort of composting going on and chicken poop is a great ingredient for that. Good luck!