There is no such ceremony for priests. Priests, as such, do not take "vows", they make a promise of obedience to their bishop at their ordination and the obligation to celibacy is imposed by Canon Law. The only ones who take vows, as such are solemnly professed religious, such as monks and nuns who make solemn vows of stability, converso morum, and obedience at their solemn profession. Friars, brothers, and sisters usually make perpetual promises or simple vows of poverty, chastity and obedience at their profession.
Religious Profession, usually during a Mass, is when a woman takes her vows as a nun.
marriage
The vows are present at the beginning of the wedding ceremony.
A monk or a priest in some religious orders. Secular priest take vows of chastity and obedience only.
At the beginning of the ceremony
Profession of Final Vows.
the three vows of a priest are 1. poverty 2. chastity 3. obedience
In order to be married in accordance with most states in the US, you must speak some kind of vows during your ceremony to be considered married, even if it's just "I take you to be my (spouse)". It's not a matter of want, but a requirement of the ceremony.
The purpose of the charge is to remind the couple of their individual duties and roles in the marriage and prepare them for the vows they are about to take.
A person is ordained a priest in the sacrament of Holy Orders. Usually, persons are ordained as Deacons before they are ordained as priests.
Priests must make a promise of celibacy when they are ordained a deacon. A religious priest previously would have made vows of poverty, chastity, and obedience, OR Stability, Conversatio Morum, and Obedience depending on his Order. To be ordained a priest, no vows are required except a promise of obedience to your bishop and his successors.
The nuptials are the ceremony or vows and the wedding is the party.