Alison of Starlit Nest has a wonderful tutorial up on flickr that shows how to bind a doll quilt with pre-made bias binding, using your sewing machine.
With a little practice, you can get results like these:
And if you like this little quilt, you can pick up the kit to make it here. It’s a great project to share with your favorite beginner, or to keep on hand when you’re in the mood to sew something quick and cute!