http://www.huffingtonpost.com/entry/coming-out-to-your-conservative-christian-parents-some_us_58712f07e4b08052400ee2f5?section=us_queer-voices
I hope this article helps with your conversations with your parents.
I'm an atheist, but I have a good understanding of Christianity because I grew up in it. I've tried the approaches in this article with my conservative Christian parents, but it didn't budge their hatred at all. Unfortunately, some people are too stubborn to try to view things from another angle.
He has a lot of nice words that unfortunately reflect only a small part of the New Testament. Anyway, Jesus also said this, Matt 10:35-37. For I have come to set a man against his father, and a daughter against her mother, and a daughter-in-law against her mother-in-law; and a man's foes will be those of his own household. He who loves father or mother more than me is not worthy of me; and he who loves son or daughter more than me is not worthy of me; (RSV2CE)
Christianity is primarily a religion of doctrine and dogma that has been set down over the past two millennia. Simply quoting scripture is never going to win this battle.
It is better to be hated for what you are than to be loved for what you are not.
André Gide, Autumn Leaves