I had to come out to my father twice because the first time he didn't really seem to get what I meant. I still don't think he gets it, but his attitude towards my gender (came out as trans) is simply "life is short, do what you gotta do". My sister took it very well and was quite excited when I told her.
Coming out is terrifying and can suck real bad sometimes. I wish you the best of luck when you do!