I just have the same rod and panels hanging over the door as I do on the windows in the living room. We have an open floor plan, so it basically one room.
I have a rod with some panels that have those big o gromets so they slide shut easily. I have 3 sets of sliders in my house and have this style on all of them. I really never shut them because it is pretty private here. But they do slide shut when we watch movies in the great room.
we have drapes on ours...I thought it would be a pain b/c they split in the center (vs. pulling all to one side) but it's been fine, even with 900 kids running in and out
Re: what window covering do you have on your sliding glass door?