Exactly. getting baptized is an symbolic outward manifestation of your faith, your new life in Christ that your sin has been washed away by the blood of Christ.
Strangely, none of my six children asked to be baptized while they were infants. All they did was cry and poop themselves.
When they came of age and recognized they are sinners, they ask for baptism...
Mine too, except that one of my kids was a little spit up machine, too.