Do not, however, take these suggestions as the ones you should necessarily follow. You need, most of all, to trust your own judgment. Only you know the situation best. Practice talking them out. Consider rehearsing telling your parents.
Most experts think telling parents in person and to both parents at the same time is best.
Obviously, this is the very moment that many people find the most difficult. If this is not possible, consider alternatives. The danger in delay, such as by only dropping hints at first, is that the parents will hear about the conversion from others or unintentionally provide awkward moments at family gatherings. Ideally, telling parents should be done prior to a wedding to allow all parents to participate in the planning of the wedding. Such participation reenforces the idea that parents are not being abandoned.