Different Christian denominations interpret Baptism in different ways. Some practice infant baptism (e.g., Catholic, Lutheran, Presbyterian, etc.), while others practice what is commonly called “believer’s baptism,” after a person places their confidence/faith in Jesus. There really is no good reason for this divide however as the Bible is abundantly clear on who should be baptized, and when. In Acts 2:38, the Apostle Peter told a large crowd,
Repent and be baptized, every one of you, in the name of Jesus Christ for the forgiveness of your sins. And you will receive the gift of the Holy Spirit.
Also when the Apostle Philip met an Ethiopian Eunuch (Acts 8:26-40), the Eunuch believed and then immediately called the chariot to stop. He then got out and was baptized by Philip.
In Acts 22:16, we hear the story of how Jesus appeared to Paul who was a fierce persecutor of the church at the time. He was blinded and healed a few days later by a Christian named Ananias. Immediately after healing him Ananias told Paul:
What are you waiting for? Get up and be baptized. Have your sins washed away by calling on the name of the Lord.
There are many more examples of baptism in the Bible, but in every instance it is always after a person has made a decision to follow Jesus. There is not a single account of an infant being baptized in the Bible, nor or are we ever told to do so.
To answer the question then, yes – if you have made a decision to follow Jesus, you should be baptized even if you were baptized as an infant. Your parents did what they knew to be right at the time and they should be commended for that; but making a decision to become an apprentice of Jesus is something only you can do. Likewise, Baptism is a public declaration of that faith that you yourself have chosen.