Deep litter method in a shed in NY is going to be difficult to accomplish because of the cold weather.
THIS is the way to go IMO. This is what I do in Southern NY and it is just so easy.
It also needs warmth and moisture. Due to the freezing temps in NY, you don't really want added moisture in the coop because of frostbite.
I use pine shavings and/or hemp bedding on the coop floor and
granular zeolite or DE on the boards and scoop the boards every morning with a metal cat litter scoop. The full poop buckets get dumped into a compost pile.
The coop is cleaned out once a year and layered with the poop pile into a second pile to 'cook' for another year before going into my gardens.
You can maximize space by using the roost/poop board arrangement below.
I have my nest boxes bumped out into my storage space over a built-in brooder but you could hang them under a poop board just as easily. For the number of birds you want, you could just install 3 nests and that would be enough.
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