2. what kind of handle/pull is available?

Well, you could use a recessed handle, either plain or with a flip-up pull
ring. But when the door is open, the two door surfaces fit flat against each
other, so you can't get at the handle no matter what it is to start closing.
After you shut the door partway by grabbing the door panel itself, you could
reach a recessed handle to pull it fully closed.

I think the suggestion of double swinging doors is much better. Or use
accordian doors, they fold against one jam and only stick out a couple of
inches when open.

--
Dennis