What might be the right thing for one person, may not be right for you. It is crucial that you take the time to consider your own personal circumstances when making the decision to come out to your parents. Determine whether this is the right time. They only just found out so remember first reactions are not always lasting reactions and they will need time to process this information. You have had months or even years to come to a place of acceptance and being ready to share it.
When coming out to your parents whether they suspect anything or not, this is the first time they are hearing this news.