If this helps....we just finished a coop/run for my youngest son using the 10x10 kennel (although we set it up as a 5 x 15 for him); he purchased his hardware cloth off amazon.com; got a 36 inch x 50 foot roll for a few cents under $60 with free shipping. It was shipped very quickly to him.
He likes using amazon because of the free shipping. This price was better than what we have used in the past (Wayfair) and for any prices at our local big box stores.
"amazon.com; got a 36 inch x 50 foot roll for a few cents under $60 with free shipping" I do love amazon ... never been much of a fan of wayfair myself
The gap by the hinges should be covered on both sides so they can't get their heads stuck when the gate is opened & closed.
Is their coop open air also? I see the title of the post, but not a description of the coop.
Our eggers are in a 10x10 dog lot- we used metal roofing to cover it (we put about 9" slope on it) and since our predators are raccoons and possums, the chain link keeps them out- to prevent the chicks or adults from putting their heads out- we use screens on the inside held in place by large binder clips.
Our coop is a 5x5 elevated on 30" legs with a ramp for the birds to have access- we have roosting poles suspended from the roof supports. It has done well for us for 4 yrs now- the roof sure makes for a dry pen LOL..
Use posts inside to make several roost bars at different heights. You want the roosts away from the sides so no fence climbers can reach in a grab a sleeping bird. Also, I haven't seen any discussion of rain and wind protection... I am in FL, too, and we do get some bitter winds...I had to work in them, so I know it can get dang cold, and the chickens feathers cannot keep them warm if it is windy, especially if they get wet. Heavy duty tarp (silver on one side, brown on the other) will provide shade, rain and wind protection.