Finally got my copy of the Big Box.
The only disappointment is that I tossed the insert. No way to store sleeved cards easily and the bits are not locked in their compartments in any way. Mine is fully bagged now.
I just need to get it played!
There is enough room to storage.
I put my sleeved cards near the space where the cards normally are in the box.
But the coins storage from the second edition was handy, maybe.
And you are right, my wooden cubes in bags now, because it is hard to pick up.
Sry about my english grammar. I wrote this with my smartphone and will correct it later with more time.