Everyone feels lonely at times, but it can hit people in particular communities harder. This is particularly true for those who identify as LGBTQ, especially young members of the community who may have to hide their true selves from family and friends.
This is not easy. But it is important to remember that your parents can’t change their beliefs and you shouldn’t expect them to either. Educating yourself and getting support from other Christians who follow biblical sexual ethics is a good place to start. Look for books and articles that are well-researched, avoiding the tendency to be biased against one side or another.
If you do choose to disclose to them, be careful to limit the information you share. It’s important to realize that there is a difference between feeling homosexual attractions and acting on them, which is sinful. This is something that you will need to explain to them in detail.