Sorry, but your Retro '60s name didn't come out sounding very hippified, either: "Cheryl Michael".
If you like, Love, I'll anagram a special hippie name for you out of your own name later this evening. You would have to give me your first, middle and last name, if you don't mind posting it here. If you don't want to post your last name, then just give me your mother's maiden name in place of your last name, and I'll work with that. :)
Your hippie name will have special significance, because it will be made up of all of the letters of your actual name -- which means that it already belongs to you. We just have to find out what it is! :)