A:Answer I received mine today. Yes, it comes with a locking storage container that accommodates both disks and all 3 blades, plus the stem adapter.
The dicing kit comes with its own storage container, too. The work bowls do not fit in the storage container, but they nest on the base with the cover. The dicing kit can sit on top of the blade storage container to save space, so the total footprint (approx 1.5 sq ft) is the base and the storage container, assuming all pieces are kept together.
It's in the dishwasher now, so I'll get to play with it later and really test it out, but it seems like a great set so far!
FYI - the model number (FP-13DGM) translates as follows: FP (Food Processor)-13 (cup capacity) D (Dicing Kit) GM (Gunmetal color).
