The Vault
From Destiny 1 Wiki
Vault is a place in The Tower and Vestian Outpost where players can store various items such as weapons, armor, emblems, shaders, consumables, materials etc. Player can use the device to share items across multiple guardians on the same account.
Year 2: Additional vault space is opened. 72 slots for weapons and armor and 36 slots for general purposes. New Collections storage is released to store and keep track of Shaders, Emblems, Sparrows and Ships.