Finally, in Matthew 16:18-19, Jesus changed Simon’s name to Peter, which means rock, and said, “You are Peter [rock], and on this rock I will build my church, and the powers of death shall not prevail against it.
A reading of the verses prior to this shows that your interpretation is incorrect.
13 Now when Jesus came into the district of Caesarea Philippi, he asked his disciples, “Who do people say that the Son of Man is?” 14 And they said, “Some say John the Baptist, others say Elijah, and others Jeremiah or one of the prophets.” 15 He said to them, “But who do you say that I am?” 16 Simon Peter replied, “You are the Christ, the Son of the living God.” 17 And Jesus answered him, “Blessed are you, Simon Bar-Jonah! For flesh and blood has not revealed this to you, but my Father who is in heaven. 18 And I tell you, you are Peter, and on this rock I will build my church, and the gates of hell shall not prevail against it. 19 I will give you the keys of the kingdom of heaven, and whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven.” 20 Then he strictly charged the disciples to tell no one that he was the Christ.
The key verse is: “But who do you say that I am?” 16 Simon Peter replied, “You are the Christ, the Son of the living God.” This truth is the rock that the Church is built on.
You are Peter (a small rock) and on this rock (bolder, not small rock)I will build my church,
The bolder Christ builds his Church on is, again, “You are the Christ, the Son of the living God.” The “I will give you” part speaks to the Church as a whole, not some man. YMMV
boulder = bolder
You want to deny the obvious.
Jesus Christ founded the Church (Catholic Church)and Peter and the Apostles with the help of Jesus and the Holy Spirit starting to build the Catholic Church, which was continued by their successors until today, and still continues today.
Certainly as with any growing organization there are issues and problems, but the Catholic Church has stayed faithful to the teachings of Jesus Christ. Even Pope Francis in spite of all the comments about his actions will not change the teachings of Jesus.
You can go with the teachings of Jesus passed down through the Catholic Church or have your own interpretation.