It's good that you're not stuck on a set weight though, since weight is IRrelevant and it's your BODY COMPOSITION that matters!
Also make sure that you're eating ENOUGH! A lot of females mistakenly think that not eating a lot is the answer to fat loss - it's not, because if you don't eat enough, you're only being detrimental to yourself and going to get the OPPOSITE of what you want.
I suggest that you have a look around here and read through a few threads, since a lot of your issues are discussed here re fat loss, etc. As I mentioned in another thread here just now, I've written a few articles that you'd benefit from reading - instead of rewriting out all the information (as I have done over and over here on the boards), please just check out all the links here. If you only read one, I recommend that you read The 3 Keys to Fat Loss - it comprehensively covers nutrition, supplementation (only the basics required), and training (samples training programmes for beginners and more experienced trainees included) for effective and successful fat loss.
The best thing you can do though if you don't know what you're doing or where you;re going wrong, is get yourself a trainer who knows what they're doing and can and will individualize a training programme and nutrition plan specifically for you for YOUR goals and needs, who will work with you to achieve your goals, and teach you along the way about WHY they are getting you to do what they have you doing, so that you learn how to do it for yourself and understand everything.