Love your quilt! The quilting really enhances the "simple" pattern (although I agree with you, sewing that many squares together definitely takes some time!)
For the binding, I've now machine bound two quilts and this is what I did: I've sewn the binding to the front as usual, then pinned it to the back and use a decorative stitch from the front, to attach it (hope my explanations make sense!). Here's a pic of my latest machine binding (sorry, the colours turned out not so great on the picture):
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