Unto the priest, i.e. to any of the priests, who shall be appointed in God's stead to receive these oblations and acknowledgements.
Related Commentaries of Deuteronomy 26:3
Deuteronomy 26:3
3 And thou shalt go unto the priest that shall be in those days, and say unto him, I profess this day unto the LORD thy God, that I am come unto the country which the LORD sware unto our fathers for to give us.