Rather than a door to connect a living room and bedroom, have a large open door way. Hang drapes on either side from ceiling to floor. It will make the room look larger and provide some privacy when needed.
Another great way to do this, is by using sliding interior barn doors. It gives the space some unique character and a rustic feel depending on the finish. Sometimes you can salvage great old doors on craigslist, flea markets and antique stores. I also like pocket doors. I've seen this in a lot of old converted apartments in Charleston and Savannah.
http://www.decorpad.com/photo.htm?photoId=28841&index=5&searchQuery=sliding%20glass%20doors&searchType=photos
