There is greater loss in not becoming a Muslim than there is in facing rejection from your parents. When you learn about the history of Islam, you will learn that our beloved Prophet faced tremendous opposition and rejection from his very uncles and close friends who had showered him with respect and love prior to the advent of his declaration of the One Allah. It is also understandable that your parents will feel hurt and angry. Do not fear your parent's reaction and whether they will reject you or not. After you come to the fold of Islam, go on treating them with love and kindness and let your pleasant approach towards them be one that will reach out to them and be an invitation for them to join Islam. Try your best to maintain family ties with them and if it is possible, use the person whom you are closest to in the family to help you to build bridges with your family. If all fails and if they insist on rejecting your decision, then I suggest that you go ahead and accept the "truth". Leave your matters in the care of your Creator and go ahead with your choice of being a Muslim.