One thing is that you can stack saddles 4 high on racks. And hooks everywhere.
The rolling carts with drawers work well for bandages/supplies. As does a metal cart from the 50/60 that they call a utility cart. Many of them can be found at junk store, and some have electric outlet to run power too also?
If room is not finished inside, but has studs? Use that and put boards up between studs. Would also paint it white, as that will add light to room. For whips and what have you, place board on outside of 2 studs, so you can slide whip down in there.
And I would take graph paper, draw each wall of room, and after measuring saddles/bin/bridles as far as how much space each takes, cut out templates of them and place them on paper that is "wall".
And also draw floor out too, and play with templates to see where traffic flow is best.
Horses make me a better person.