Then I used a "magic binding" technique I found on pinterest to bind it. My stitch length still needs work (I'm at least the 3rd owner of my Gammill, it's from the 80's so no stitch regulator), but overall, I think I did pretty well! I'm happy with it. Just need to figure out what to do with it now!
Anyway, here's the final piece!
And here's the "magic binding". See that neat little pinstripe of blue in there? I really like this. And it's all machine stitched, right along that line between the blue and the yellow. It takes a little bit of extra time, but I think it's worth it!