I bought this Rubbermaid storage container for my newly purchased armor yesterday:
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Everything fits, although a bit tight. I had to stack the parts on the right side like this: Ab Plate, Kidney/Butt Plate, Chest Plate with Arm/Leg Parts inside the Chest Plate. Boots, Neck Seal and other random parts are underneath the helmet. Blaster is next to the helmet.
It doesn't seem flight-suitable, but it seems like a good starter container.