I'm sure you've noticed that I've been going to town with my coverstitch machine, which is a Brother 2340 CV. I initially purchased it because of my frustration with the twin needle for hemming knits.
Debbie and Belinda's amazing tutorials! If you want to bind with your coverstitch machine, that is the place to start. (ETA: Belinda's blog is unfortunately closed, but Debbie's is still and excellent resource.)
Sticky Tack, which works great. it doesn't have to interact with your machine, so as long as you have space in front of your presser foot, this binder should work for you.
Getting the binding strip in place was tricky the first couple of times. Here is the process, once you have the strip fed through the binder. (Debbie's blog has some great tips for getting that fabric strip in there.)