While there is no requirement for a "central storage area" for guns, police sometimes do have an issue with "missing" guns.
Local news reports in my area of Florida said that a cop went in to use the bathroom at a Muvico Theater in Tampa. Apparently, he removed the Glock 26 (his personal weapon) from his holster and placed it on the toilet paper dispenser.
When he finished up the paperwork, apparently he forgot to replace the weapon in his holster.
He left the theater and sometime later he called the theater manager to advise him about his newly remembered Glock.
Meanwhile, a young boy of about 9 entered the same stall and found the Glock.
Young boy reported it immediately to his father.
Father is reportedly "ex-military" and knew how to "disarm" the weapon.
Police were called. Various media were called
Fiasco ensued. It made the 6o'clock news with followup at 11.
Papers reported it the next day, noting that the "experienced officer" (15 ye3ars on the force, I think) would receive counseling on proper toilet usage.
His Glock was returned to him.
So,missing guns are pretty exciting on this side of the pond, too.
FWIW,
Crusader Rabbit