Perhaps this website will help explain the Catholic Rite of Baptism:
parishofstluke.net/sacraments/baptism/rite/index.htm
Words of the priest celebrant:
Celebrant: You have asked to have your child baptised. In doing so you are accepting the responsibility of training him (her) in the practise of the faith. It will be your duty to bring him (her) up to keep God’s commandments as Christ taught us, by loving God and our neighbour. Do you clearly understand what you are undertaking?
Celbrant: Are you ready to help the parents of this child in their duty as Christian parents?
Celebrant: N., the Christian community welcomes you with great joy. In its name I claim you for Christ our Saviour by the sign of the cross. I now trace the cross on your forehead, and invite your parents (and godparents) to do the same.
Celebrant: A Reading from the Holy Gospel according to John (3:1-6)
Celebrant: My brothers and sisters, let us ask our Lord Jesus Christ to look lovingly on this child who is to be baptized, on his (her) parents and godparents, and on all the baptized.
#1: By the mystery of your death and resurrection, bathe this child in light, give him (her) the new life of baptism and welcome him (her) into your holy Church. Lord hear us.
Prayer of Exorcism and Anointing Before Baptism
Celebrant: We anoint you with the oil of salvation in the name of Christ our Saviour; may he strengthen you with his power, who lives and reigns for ever and ever.
Blessing and Invocation of God over Baptismal Water
Celebrant: Father, you give us grace through sacramental signs, which tells us the wonders of your unseen power.
In Baptism we use your gift of water, which you have made a rich symbol of the grace you give us in this sacrament.
At the very dawn of creation your Spirit breathed on the waters, making them the wellspring of all holiness.
The waters of the great flood you made a sign of the waters of Baptism, that make an end of sin and a new beginning of goodness.
Through the waters of the Red Sea you led Israel out of slavery, to be an image of God’s holy people, set free from sin by Baptism. In the waters of the Jordan your Son was baptized by John and anointed with the Spirit. Your Son willed that water and blood should flow from his side as he hung upon the cross. After his resurrection he told his disciples: “Go out and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Spirit.” Father, look now with love upon your Church, and unseal for her the fountain of Baptism. By the power of the Spirit give to the water of this font the grace of your Son. You created man in your own likeness: cleanse him from sin in a new birth to innocence by water and the Spirit.
The celebrant touches the water with his right hand and continues:
Celebrant: We ask you, Father, with your Son to send the Holy Spirit upon the water of this font. May all who are buried with Christ in the death of Baptism rise also with him to newness of life. (We ask this) through Christ our Lord.
Renunciation of Sin and Profession of Faith.
Celebrant: Dear parents and godparents: You have come here to present this child for baptism. By water and the Holy Spirit he (she) is to receive the gift of new life from God, who is love.
On your part, you must make it your constant care to bring him (her) up in the faith. See that the divine life which God gives him (her) is kept safe from poison of sin, to grow always stronger in his (her) heart.
If your faith makes you ready to accept this responsibility, renew now the vows of your baptism. Reject sin; profess your faith in Christ Jesus. This is the faith of the Church. This is the faith in which this child is about to be baptised.