I use a single thickness binding for more drape at the edge of a quilt. I think this is especially important for the smaller doll quilts. For quarter inch binding cut straight grain strips that are one and a quarter inch wide. Lay the strip ends right sides together at 90 degrees to each other. Sew across the diagonal. Continue until all strips are joined. Trim seams to one quarter inch.
Start with a quilt that has been trimmed and the corners square (90 degrees). I start in the middle of one side and leave about 8 inches of the binding strip before I start to sew.
Sew a quarter inch seam until the needle is one quarter inch from the end of the quilt. Stop with the needle down.
Pivot the quilt 90 degrees and stitch backwards off the quilt.
Remove the quilt from under the presser foot and fold the binding strip back so that the right edges are even.
Next, fold the binding strip back down with the folded edge even with the side just sewn while keeping the right edges even. Sew a quarter inch seam.
Repeat for all corners and sew until you are a few inches from where you started. Remove the quilt from the machine.
Fold each of the binding strips back on themselves leaving an eighth inch space between them. Pin the fold at the center of the strips.
Fold the quilt so that the two binding strip ends can be joined. 
Match the pins with the binding strips at 90 degrees to each other
Trim the seam and sew the rest of the binding to the quilt.
When turned to the back the corner should look like this.
Fold under the raw edge and pin the binding to the back. The folded edge will just cover the stitching line. To distribute the bulk of fabric in the mitered corner pin the corner in the counter clockwise direction.
When you stitch the binding down make sure to stitch the miter closed on both sides. This gives a more finished look.
I do only pin about five pins ahead of where I am sewing. This way my thread does not get tangled in the pins.
Here is the finished corner on the front of the quilt.
If you make something using this tutorial please add photos to my flickr group. I'd love to see what you've done.
edit to add.
I now finish all of my full size quilts with a 1/2 inch finished binding.
To make the wider binding, trim the quilt so that the backing and batting extend 1/4 inch past the edge of the quilt. Use binding strips that are cut 2 1/4 inches wide. Follow the above directions using a 1/2 inch seam allowance when attaching the binding.
