Height...make it the height that works best and is most comfortable for your back.
In Florida i would want at least one coop wall made with solid hardware cloth... that heat in a locked up box would be horrid. (I am originally from Texas, and used to at least 1/2 of the coop being wire. Where it is hot, a breeze at perch height is a great idea.)
If the window can close up, then the perch in front of the window, with the wall opposite being solid wire would be great (as long as you have great big eves on the roof to keep out rain).
Of course... you might not want a perch up against a wire wall.... but then again the birds might love it in the heat you have.
But if we then decide no perch on the new wire wall... to get enough perch space for 8 birds... I would put a second perch on the front edge of the poop tray by the window.
All of mine perch the same direction and I have zero issues with this setup. However, it might not work for you, since some might want to look out your window.
(My bantam poop shelf below)
View attachment 2534543
So.... my other thought is to put the perches/poop shelf/ nest boxes on the wall opposite of the people door.
pop door can stay where it is, and be a bit under the poop shelf if need be. But then you need to pick a different wall to convert to mostly or all wire..
8 in that coop would be a bit tight... but probably fine in Florida, especially since that run you mentioned is a fully secure run that they can always access.
I would however put a sheltered spot in the run to have feed and water, to reduce any potential bullying issues.
However, carving out space for storage...ehhhh.... depends on how much space that eats up.. You could stick some totes on the ceiling (hang, hooks, shelf). that would work fine, since it would not reduce the chicken coop floor space.