Sometimes I do what I call a "Piping" binding. You sew two different color strips together, press wrong sides together with the piping color extending over the seam, The you sew with the raw edges to the back side (piping color facing up) and wrap the around to the front. The other color will show as the main binding. Then stitch in the ditch where the piping color meets the main color.
It comes out quite neat and no hand work (always a plus for me).