Solobear is right in the fact that because you aren't financially independent, it will be difficult if there is a problem with them accepting you.
I have a few things to add though
You said you're 18(at least that's my assumption when you said old enough to live on your own), so does that mean that you're out of high school? Are you starting University? Looking for a job? I need more information before I can give you my full advice, but just remember we all need time to accept things and find the strength and courage to come out to our parents.
I'm from a VERY homophobic family, and I've felt this way ever since I can remember - only pegging the term for an FTM transgender when I hit around 16. It took me 4 years to go to a therapist and talk about my struggles. It took even longer for me to come out to a friend. When I wanted to go to therapy, I wanted to talk about it with my family so badly that I couldn't stand it, because I wanted them to know who I really was. I was 20 years old, and I was starting to be more responsible than I had ever been in my life. As a student away at school, I wasn't there to witness their reactions. I did it over the phone. Some people do it via letters, some over the phone, some over text message, and some choose to discuss it with their parents as adults. But what every one of these people have in common is, is that we all wonder in the back of our minds if our parents are going to be accepting. Even those with VERY liberal parents wonder this, I'm sure.
However, when I told my parents I was terrified. I was nervous. I was sick. They had just finished their divorce, and things were still edgy(and me being the only biological child of BOTH of my parents, I was stuck in the middle) but I thought - in the case of my own sanity - that I needed to go to a therapist to discuss those issues, as well as some other aspects of my life that I was hiding.
I remember my mom asking me what was wrong with me, and knowing full well that she knew a little bit more about my sexuality than I have ever told her(still not quite what she thought she knew), but she never knew that I had a gender dysphoria. I couldn't tell her, despite that we were getting CLOSE to that discussion. I waited a few days until I was on the phone with my dad. He knew something was wrong, because throughout my life we were always tight. He asked, and I don't know why I chose to tell him first - he was the most homophobic one of my entire family, and the one I fought with for years over such subjects. (He always knew I was a liberal minded person, but he never knew I took it personally when he would hash out ignorance towards the LBGT community.) But I did tell him. He was quiet for a few seconds, and said and I quote "whoa.. bombshell. Wasn't expecting that.". We laughed about it. He isn't ok about it necessarily, but he does understand that it's something that I feel, and that I WILL be transitioning whether he likes it or not. We talked about it. He's read up about it, and tried to educate himself on the matter. He's trying to call me by the name I will be getting my birth name legally changed to. He slips up. He has mentioned in the past(right after coming out) that he doesn't like me talking about it, but then he's went back into supportive mode.
I chose to tell my mother right after this, and she gave me the line "why can't you just be a butch lesbian" because she knew that I had liked girls in the past(not because I told her, but because she's caught me in AWKWARD situations LMFAO) but I told her it had NOTHING to do with sexual orientation, and everything to do with how I perceived myself, and wanted others to perceive me OUTWARDLY. She doesn't understand, and she does NOT like it. She's talked about me behind my back to my father during one of their blow out arguments, but that's my mom. She's already bipolar to the count, and completely ignorant in a lot of matters regarding this, but she also still loves me. She hasn't acted weird around me when we are together, and she accepts me because I am still me.
I told my friends after I told my parents, which is completely crazy - but worth it. I'm a family person. My brother though, he wants to kick my ass after I start on Testosterone just because he wants to make up for lost time. Which is ridiculous considering we've been in a multitude of fist fights before.. eh
The point is, is that you've came out to some people. That takes courage. Maybe you just need to give yourself a little time to tell your parents, and maybe you're ready emotionally, but afraid of being out on the street. Who knows. The point is, is that you aren't ready regardless of the situation.. and until you're ready, you're not ready lol. No one can tell you when it will come, but it will come. Be patient. When you feel like it's a good time to sit them down and discuss it with them, then it's a good time.
I know how hard it is. I live in Tennessee, part of the bible belt. It's a very religious state, and a very close minded state. I know what it's like to be afraid to be who you are; afraid of discrimination and persecution for just being you. It's horrifying.
Despite the fact that BOTH of my parents resorted back to hateful mannerisms a couple of times after claiming to be supportive, I know that they STILL DO LOVE ME. Everyone slips back. You just have to be tough skinned, and get through all the bull->-bleeped-<- that everyone throws at you. When you're arguing with people, most of the time douchebags will throw it in your face. You just have to keep your chin high and know that out there somewhere, is someone that will TRULY LOVE YOU FOR YOU. IF that isn't your parents, then it's not your parents.
Afterall, loving someone is loving who they are - not who you want them to be.
If you aren't ready to tell your parents, then you aren't ready. If you are going off to university, I might consider waiting until you're there to tell them, so that you'll have a place to go(ie a dorm?) in case they want to kick you out, and therefore give yourself a few months to decide where you're going to go. If you go to high school, then as solobear said, try to be yourself there and suck it up when you get home, until you're ready to talk.
My guess is, is that because you get angry about something about your body with them and you guys fight; then they already know something is up.
Ask them if they love you unconditionally, and if you already know the answer - then use that to decide on whether or not to tell them.
Binding around the house isn't very comfortable anyways though. So really, you may not have to do it at home. I only do it when people are coming over, and when they leave, I take it off. I keep my binder on during the day, and it's comfortable enough to do so, but trust me - you'll be relieved when you can get it off.
If they bring it up in a calm manner, talk to them about it. If they bring it up in a hostile manner, dont. Wait until you're out of the house.
I'm sorry that I rambled so much. I can't seem to get my thoughts straight this week. I wanted to share my experience with you, so that you know that you're not the only person with a family like that
But also know, that some MTFs and FTMs have lost their families over this. I was prepared to. I didn't want to, but I was prepared to. My parents had shown though, that they trusted my decision as an adult(ie me getting a tattoo, which may not seem like much to you - but to my parents it was lol) and I was hopeful that they would demonstrate that same courtesy again. They did, and I'm severely blessed. You may not be so lucky; but you also might be. I personally wouldn't take the chance until I was out of the house. As I said, I didn't take that chance until I was away at school.
Good luck.