The wording of the response at a circumcision is: כשם שנכנס לברית כן יכנס לתורה ולחופה ולמעשים טובים.

On the day of the circumcision it is our custom to make an advance payment on the child’s tuition fees, in anticipation of his future Torah studies.

In the Grace that follows the meal celebrating the circumcision, the series of paragraphs beginning הרחמן (Siddur, p. 95) is interpolated.1