Using a soft satin bias binding threaded with narrow elastic instead of visible knicker elastic is a cute option and it adds a sort of retro mid century feel. I've added a HOW TO right here.
For this sporty version I used a stretch cotton so there was no need to cut them on the bias, I also went up a size. I selected a soft satin binding and purposely didn't make the elastic too tight. Add the appropriate upper body gear and it's a super cute jogging short. Bloomer pattern available right here.