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Are there any questions I could/should ask myself that might help to better understand what I truly am?
This isn't something I feel like anyone other than you could really answer, as it's sort of a personal thing. But to generalize a bit, ask yourself why you do the things you do, or why you feel the things you feel and actually allow yourself the time to explore those questions. Don't shy away from them. It can be hard, and it can be scary, and progress can sometimes be slow... but you have to be able to ask the questions.
Also, it sounds counter-intuitive, but allow yourself to explore your doubts as well. If something makes you doubt what you're thinking, then take the time to explore that too. The end goal is to find the answer that is right for you - and that is different for everyone. It might be you identify differently, or it might be that your just curious, and there is nothing wrong with either or those answers.
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but how long did it take you to accept who you are?
I'm... still working on it. I've gotten pretty comfortable with accepting myself when I'm alone, but honestly, the thought of exposing all this to the world is definitely still a daunting prospect. I've been actively exploring my gender identity for about two months now, but have struggled with all of this for a while. I'm sure I've still got a bit to go.
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How did you handle the consequences of coming out, especially to a potentially hostile family?
Again, I haven't come out to anyone I personally know yet. I'm also lucky in the sense that I honestly don't care what most of my family thinks of me. I have the luxury of being self-sufficient and it makes it all alot easier to deal with everything at my own pace. That said, I know my sister and quite possibly my father are likely to never deal with me again if I ever tell them. But, I'm sort of okay with that. So I guess I don't have alot to offer on this.
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Any suggestions for coping methods for being in the closet?
Do what makes you comfortable. There are lots of little things you can do that no one is likely to notice. And alot of them, even if someone notices, it's easy enough to just say something like "I just felt like it." or "it was an accident" or something like that.
I've found shaving my body hair helps. You can probably do legs without anyone noticing - especially since it's winter and thus pants season. Same with armpits and chest/stomach. I do arms as well, and honestly, no one has ever noticed and/or asked me about it, so it's whatever. Paint toenails if you want - just wear socks/shoes around other people. Or do whatever other little things you can that make you feel a bit more comfortable.
Again, this is all a bit easier or harder depending on your personal situation. But try out one or two things and see if they help and how the world reacts. My experience is that most people don't notice the little stuff anyway.