Cut the bias tape exactly the same as the circumference of the basket. I clip it to the outside of the basket all the way around then cut, sew the ends together diagonal seam with a 1/4 inch seam and press open. That gives just the right amount of stretch to go around the outside of the basket. Hold in place with clips, necessary if there is a dip in the center front and center back of the basket.
my bias is left over from quilts and is either 2 1/2 inches wide or 2 1/4 inches wide
turn bias in, clip and stitch around again
I hand stitched the handles between the coils with a matching hand quilting thread.
Too hard to go through the coil and too thick to stitch by machine.