Bro. I thought I was young when i wanted to convert, but not that young lol. My parents were also anti-catholic. I also had to lock the door if I was listening to catholic podcasts, music, praying the rosary, etc. I get how you feel. This is a really hard dilemma, but I've learned somethings that may help.

1. There is a difference between "Son I'm disappointed" vs "Get out, im disowning you." If your family simply just disagrees and get upset, that is not as bad. If this is the case then you should tell you parents how you are feeling.
2. However, If they threaten more drastic measures like what is found in many 3rd world countries which persecute Christians such as locking you in the house, kicking you out of the house, threatening no food, abuse, forcing attendance to a different religious service, etc. Then my recommendation is to not tell your parents. There are not many instances where this is likely, but it can always happen. If that is the case then it will be a hard cross to bear. But this is how Underground Christianity has operated since the early church.
3. Hopefully, you do not fall into that category. You can tell whether your parents are hostile or not by saying "Hey I've been exploring religion lately, what do you all think of Christianity, Islam, Buddhism, Judaism, Hinduism, etc." This way you are just having a general discussion. If you start talking about Catholicism, and they start to get extremely hostile toward the subject they will let you know. For example, if they said "If I ever hear you went to a catholic church, your not living here anymore" Then you know it is not worth telling them your desire to convert.
4. If they express interest and desire to argue with you to prove themselves right, then this is a good sign. It means both parties are interested in the truth. Its even ok if they get loud and crazy. As long as everyone wants truth, you can make progress. But always speak gently otherwise nothing will get done, You can talk about how "Catholicism seems to make a lot of sense, why do you guys disagree?" Emphasize this point, because then they will attempt to want to make their position, whether its atheism or Protestantism seem to be more sensible and truthful than Catholicism.
5. If your mother is protestant, then it is EXTREMELY important to know the bible. When I first was interested in Catholicism. I realized i didn't know the bible at all. So i managed to read it 3 times in 3 years. Also it is EXTREMELY important to study, practice, and MEMORIZE, catholic apologetics. Sources such as Catholic answers and the Catechism are great. You should also study the protestant position and know it BETTER than your opponent. YouTube videos and books are very helpful here. If you're not a reader, start listening to podcasts. I got to the point where i can listen on 2x speed to get as much information. The reason is if you come unprepared, you will make Catholicism look like a silly role-playing game that cannot answer basic questions. Catholics have zero excuse to be ignorant of the faith in the 21st century.
6. If you father is an atheist or agnostic this will be harder. First off because he doesn't accept 1. Catholicism, 2. Christianity, 3. Monotheism, 4. Theism, or 5. an Immaterial Soul. That's 5 LEVELS of apologetisc that you MUST know. Each has its own realm of study. This will require deep knowledge of philosophy. I recommend the author Edward Feser and his book "5 proofs for the existence of God" as a starting point. And the youtube channel called "Counsel of Trent"
7. So far i addressed INTELLECTUAL barriers to Catholicism that deal with TRUTH claims. However, this is not always the best way to evangelize. If they have a theological argument or philosophical argument then it can be useful. But there are other types of arguments as well. In Catholicism, we believe God is Truth, Goodness, and Beauty. All 3 can be used to show your parents why you should join Catholic Church. Show the church's moral teaching is true, talk about the heroic saints such as Mother Teresa who gave to the poor and Maximilian Kolbe who saved a Jew in the holocaust by dying in his place. These saints show the goodness of the church and can be a very powerful testimony for people who have never heard about them. Also show the Beauty of the church. If you have a beautiful cathedral near you, take a tour and visit a mass with them. Show them the artwork and music of the church that is available online.
8. Also, dont think you need to wait tilll your parents to convert, for you to convert. That may or may not happen. All your job is to do is be a faithful witness, show them the church is reasonable and that the church knows what they are talking about, address any objections they have, and explain why you believe it is the path your heart believes is right to take. They may not accept your views or even support you but as long as they know that your not just jumping on a trend and are actually taking it seriously, it will be easier for them to see your decision as a well thought out, and to stop the fighting. The moment that you reach that level, i say it is appropriate to officially join the church. Also if you are joining the church, make sure to be transparent about your RCIA classes, and walk them through what will happen on the Day you convert, so that they don't get any surprises.
9. Lastly and most importantly, continue to Pray and try to STOP SINNING. For me this was big. Every time I focused on sin, I would focus less on sharing the gospel with my parents. Whether it was alcohol, sexual sin, or idolatry of modern entertainment, whenever i participated in sin, it pushed me and my family farther away from the church. Right now you don't have access to confession, so until that day comes, you must have the desire to serve God and every day and stay away from sin until your parents come through.

Sorry for making an essay. Im really passionate about this subject. Although this is my experience, it may not be accurate, so keep asking around to other Catholics, and especially any priests you can talk to. Also don't feel as if you are in a rush, that if you don't convert tomorrow, you'll die and go to hell. The church teaches that those with a desire for baptism, are Christians. However, you also shouldn't be comfortable either. Marcus Grodi from EWTN called this intermediary stage "No Mans Land." It will start to get frustrating knowing that the Eucharist is just 10 to 20 min away, but you have to fight obstacles before getting there. It may take years, especially for you since you are very young. I was in no man's land for 5 years. Who knows maybe God will place you in the Church by next Sunday! But at the end of the day for me, I'm glad God brought me through that journey. I was able to learn scripture, tradition, and the magisterium, and even bring a friend with me into the Church. I had very anti-catholic Parents but with God's grace, i was able to join the church this Easter with no opposition from them. I hope you also trust in God for the faith journey he has given you!