Most ships are stored in hangars when not in use. There will be four tiers of hangars available at launch, and the hangar a player receives is based on what ships they have bought, and will be customizeable to a limited extent.
The initial hangar release did not include Oculus Rift support, however it was promised in a future version. Hangar patch 11.1, released on February 26, 2014, included that support.
We are going to be updating all the hangars and I agree about the Asteroid Hangar it is looking sweet.
The idea of the hangar is, besides your ships you'll get some extra space to keep some goods and cargo. The same would apply for something like a warehouse. So when you go to a commodities exchange or store, even with NPCs you should see the goods sitting there, it's all visual. It's not like a screen that says 'you have this many tons', you actually go in and you'll see pallets of items.