What happens to Corp offices in structures when structure is transferred to new owners?

I rent an office in an upwell structure, but I have been informed by the owner that it is to be transferred to another corp. What happens to my office rental and all my stuff? Is the office rental just moved over to the new corp automatically and I simply end up paying them, or do I have to re-rent the office with the new owners? How about all my stuff? Does that end up in Asset Safety?