Baptism and christening are often used interchangeably, but they have slightly different meanings.
Baptism is a sacrament in the Christian church in which a person is initiated through the use of water and the invocation of the Holy Trinity (Father, Son and Holy Spirit). It is seen as a means of grace and a sacrament of regeneration, it marks the beginning of one's Christian life and faith. It is a rite of passage and a public declaration of one's faith in Jesus Christ.
Christening, on the other hand, is a specific term used in the Anglican and some other Protestant churches to refer to the baptism of infants or young children. It is seen as a naming ceremony and a rite of passage into the Christian community.
So in summary, baptism is a sacrament that marks the beginning of one's Christian life, while Christening is a specific term used to refer to the baptism of infants and young children.