Long distance relationships like yours can work out fine if there's a solid base to them. It sounds to me like you've been making that happen, so kudos! As far as telling her you're less dependent, don't. Show her with how you act. Tell her about things you're doing to help yourself and/or better yourself, and don't ask her where she's been, etc. Always be happy to hear from her of course, but clinginess won't help your cause. If you have dreams and aspirations, and are truly happy with your life, that will be the most attractive to her. A man who has his life together is attractive indeed. So don't go about it by "how can I get her back?" Go about it by taking care of yourself, and let the rest fall into place.
Gangway, girls: I'll show you trouble.