I wouldn't say that your parents are ashamed of you, I think it's more of avoiding hassle or confrontation from other - stricter - family members. They most likely don't want grandma or some other relative nagging you/them because "back in my day women aren't supposed to wear mens' clothes" and then cause a scene/drama for the rest of the family. I'm pretty sure there are better ways on dealing with problematic family members but we'll save that story for another day.
If you want to get an idea on how your parents will react, you could talk to them about transgender issues that's going on in the news and see their reaction/attitude towards it. Maybe you could also tell them about your boyfriend's coming out (with his permission, of course) if he's comfortable with it. If they seem to react well, then maybe you can tell them about how you feel.
I doubt your parents are going to hate, disown, or feel ashamed of you for being trans. However, since you're 14, they might pull the "you're too young to be transgender" card, so be prepared for that. If they do, then ask them if you could see a gender therapist so you could at least talk to someone about it. No parent in their right mind would refuse that kind of request unless they think they're smarter than a trained professional.
If they do feel ashamed of you, then shame on them. You're being you, and if they can't accept who you are, then they're crummy parents. Don't worry about what they think. I know you're forced to live with them, but try to ignore any negativity from them until you get the opportunity to move out if they give you any trouble.
I haven't done binding or surgery yet, so I have nothing else to say in this thread.
Best regards,
Todd