Here's my advice (coming from a former youth whose indiscreet zeal caused more harm than good, for which I will have to make reparation somehow).
If you are a minor, you ought to remember that your father (together with your mother) holds absolute primacy in your home and has sovereign rights upon your person, until you reach an age whereat you become an self-sufficient adult and are therefore no longer bound to your father's authority. You owe him obedience and filial devotion at all times, and you must never think, say or do anything that might fall short of such a grave obligation. Your manners and behavior should demonstrate this to your parents, that they may see that you have embraced the profession and practice of the faith for love of God and holy zeal, and not for the sake of self-serving false piety that is really in the case of some young traditionals a "hallowed rebellion."
Many youths who become traditional have great regard for the theological virtues, especially faith and the virtue of religion wherewith it is concomitant, but they often seem to neglect the acquired moral virtues, especially those that ought to be exercised in the household (such as filial obedience, temperance in thought and act, modesty of manners, &c.) and would edify their parents and friends more than any learned apologetical discourse.
If your attempts to have a reasonable and amicable exchange with your parents (wherein you calmly laid out the reasons why you have chosen the Roman Mass over the N.O. service) have failed, then you ought to speak with actions: focus on the cultivation of the interior life, and practice mortification, self-detachment, prayerful manners, &c. and your parents will see that you are becoming a better person because of your traditional faith. This, coupled with a persevering refusal to regress to the N.O. services, may perhaps make them think twice about the matter.
If you are old enough, and if you have won the trust and consent of your parents, you can go on your own to the Latin Mass somehow, either by driving or hitching a ride with others whom you know and trust and attend a traditional Chapel.
The first and best recourse is, as always, prayer. Pray a lot for your parents, and encourage the practice of the Family Rosary and other devotions as much as you can, and accompany this with a truly edifying example of Christian virtue and filial piety.
This is what has occurred to my mind thus far. If anything else occurs to me, I will reply further.
Please be assured of my prayers regarding this matter.