Transferring 35mm film between cameras?

Hey all, One of the things I enjoy doing is fixing up old cameras. After fixing one up, I put in some 35mm black and white film and was shooting with it. A few days ago, the camera broke again. I've determined it's not worth my time or energy fixing it up again, especially since I just got a new film camera. However, the roll of film in the camera still has 16 shots left--any suggestions on how I can transfer the film to my new camera?

digitize film