It's a process, that's for sure. But what's important I've found is to not allow yourself to get too hung up on any one particular aspect of your person. Every person alive has parts of themselves that they wish they could change, I know I do!
However, I would suggest you try to look at your issues with gender as part of a larger whole. It's obviously an important aspect of who you are, but try and always be aware of your other qualities that you can feel content with.
Self-acceptance is something a lot of people strive for, me included. But it can be done one step at a time.
As for your parents, I tend to say that people should try to respect their Mothers and fathers. Just remember that at some point we all need to take step in the direction that makes us happy. Families should work together to understand and accept the choices each individual makes.
Good luck!