Have you noticed that neither Sharon nor I ever use a sewing machine in our crafts? Well, guys, that's because between the two of us, we don't have a sewing machine.
I quilted the potholder with a simple running stitch and then used double-fold bias tape for the edges. Naturally, I used Prudent Baby's "How to Sew with Bias Tape" tutorial to ensure I edged it correctly.
There it is, in all its glory.