You've got great suggestions so far! I just want to add a bit:
VENTILATION, and SHADE.
Ventilation is the most overlooked, misunderstood, and probably the most critical feature of your coop. Please be sure your coop is equipped with plenty of vents and open windows (covered in 1/4" or 1/2" hardware cloth, not chicken wire). You see, chicken manure contains lots of ammonia and moisture. And in your climate, things can get stuffy and humid. Without proper ventilation, that leads to respiratory distress and other issues. If the coop isn't comfortable, they'll choose elsewhere to roost and lay their eggs. If your coop does not already have at least 1 sq ft of vent space per bird (or more, in your climate), then ADD some.
And SHADE is important to help the chickens regulate their body temperature - that, and plenty of fresh water at all times.
Let's see.... coop, run, coop bedding and litter, protection from weather and predators, ventilation, shade, waterers, feeders, proper chicken feed, oyster shell and grit.... those are the basic necessities. You'll add more, I'm sure, to make things more enjoyable for yourself and the flock as time goes by.
I've built up a poultry first-aid kit with things like calcium tablets, Vitamin B complex, Vitamin E (because I hatch chicks), Blu-Kote (for injuries), vet wrap, worming medication, electrolyte powder, vaseline (for scaly leg mites), a small scalpel (for bumblefoot), Nutri-Drench, antibiotic ointment, scissors, and a few other things, all in a small plastic tool box. Oh, and a bag of epsom salts (to help relieve egg-binding). Indispensable to have on hand when the need arises.
You'll also probably want to gather some coop cleaning supplies - like a sturdy scraper, hand-broom and dustpan, and a cat litter scoop. Depending on what kind of litter you choose for the coop (sand or wood chips are most common), you'll need a device to sift sand, like a rake; or to shovel soiled wood chips out, like a scoop shovel. I also keep some Stall-Dry or PDQ Coop Refresher on hand to spread out between cleanings.
Lots of folks are adding security cameras so they can monitor things from a distance, during the day or night. NOT at all necessary, but very helpful if a predator breaches your defenses and gets inside. Also helpful to identify a bully in the flock.
Print this out and tack it to your refrigerator, so you know which scraps and treats can be fed to the chickens and which things are bad for them or even toxic:
https://www.newlifeonahomestead.com/wp-content/uploads/2020/04/what_chickens_can_eat_checklist.pdf
