So, generally, those who receive Jesus Christ should normally be baptized in water. In the book of Acts, water baptism always seemed to be done without delay. Although burial can take place at any time, the best time is immediately after death has been confirmed. A major benefit to the believer is the clean break that water baptism makes with their past. I am a new person in Christ.
Water baptism is a point of separation, dividing the old from the new.
He was, and is, our pattern. And, in a sense, He was, at that point, dying to His past life. From that point, His first allegiance would no longer be to earthly relatives. Jesus would no longer be a carpenter. He was beginning His public ministry.