My doctor had signs posted in his office that Bellevue doesn't allow pictures in the OR, in the nursery, or during the pushing/deliver portion of a traditional birth. They may have changed that policy in the past couple of years.
The recovery room is private w/ a curtain, but the hospital itself does not have any private rooms. They are in the middle of a remodel and will have more private rooms in 2013 I believe. They try to keep 1 person to a room as much as possible. I was in a room by myself for the first 2 nights and had a roommate the 3rd night. If you do have a roommate, your SO would not be able to stay in the room with you. My husband slept in a waiting room the 3rd night because he didn't want to go home. There is only 1 rocking chair per room, so if you have the room to yourself at first, have someone move it to your side