Is there a global storage in Guild Wars 2 like in Guild War where all your characters have access to it? It seems like a functionality that would naturally be there but I have yet to find it yet.
The major cities each provide access to a bank which is 30 slots (you can increase this) shared by all characters on your account.
You need to either travel to a bank manually or use one of the Freemium items that allow bank access from the middle of anywhere.
Additionally, your collections storage of crafting materials (max 250 of each crafting material) is global to your account -- and you can access that (and your bank) from any crafting station.