It’s a relatively quick process and leaves both the back and front of the quilt label-free. Simply use either machine or hand embroidery, or a good permanent marker, to write on the back side of the binding (see this article about markers).
This produces a discrete label that can be as brief as your name and the year. Or, add more info if you’re so inclined.
One benefit of this method is that your signature on the binding is much harder to remove than a separate label would be, ensuring that it’s more likely to stay in place for the life of the quilt. Plus, it can be much faster to do, especially if you’re using a marker.
Image from The Quilting Edge.
Mandy Leins of Mandalei Quilts has written an excellent article for We All Sew showing how she machine embroiders a label on a binding. The embroidery instructions are specific to her Bernina machine, but they won’t be hard to adapt if your machine can embroider letters in small sizes.
If not, then consider the hand embroidery or permanent marker options. Whatever method you choose, Mandy’s instructions will help you determine the width of the binding and placement of the signature.