I am not sure if Destiny will have a bazillion guns like Borderlands, but it does seem to be a loot game. I hope Bungie implements a system for storing a large number of your favorite weapons and other special items.
I feel like Borderlands 2 made a mistake limiting the number of weapons you could save for one toon. Also, BL2 made switching weapons between toons too tiresome. I'd like to have a huge locker on my ship where my weapons can be stored and transferred between toons easily.
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Its been confirmed that there is storage on your ship