Years ago when I first started quilting I bought a book by Georgia Bonesteel and I loved her directions for joining the binding. I leave about a 6" tail on the binding when I start stitching and when I come within 6" of the finish of the binding I lock the stitches. unfold the beginning of the binding and fold the full width of the binding at a 45 degree angle and crease the seam. Lay the beginning of the binding on top of the open tail end of the binding and draw a thin line where the beginning binding ends. Subtract 1/2" from this line for seam allowances and place the beginning tail perpendicular to the tail end matching the second marking 1/2" from the meeting place and sew. When you fold the binding and stitch it in place you can't tell whether the seam is perfect or not.