Greetings in that Divine and Most Precious Name of Our Lord and Savior Jesus Christ!
What is a priest? A minister on people's behalf. What does that mean? A priest is a person whose prayers are both heard, and sometimes responded to by God.
Yes, we are indeed all priests. A man is the priest for his family, and each person is a priest for themselves. In Hebrew theology, this is what explains folks agency to pray for themselves. In the Hebrew Law, priests said all the prayers. People prayed for themselves, but as we read in the Old Testament, God was sparse in His direct replies. Abraham only spoke directly with God on three instances in the Old Testament, Isaac even less, and Israel also just a handful of times. It was after Moses that we find priests and prophets (many of whom were also priests) pray often, and communicate directly with God. Through the New Covenant, we are all priests to God Almighty. We all have equal-opportunity for prayer. However, as in Ordination, there is a ranking in the clergy. Not all clergies can celebrate the Divine Mysteries. In this way, the ordinary priesthood afforded to the laity because of Baptism and Chrismation is lesser in the duties as say Deacons, Priests, and Bishops, with each having their respective roles and positions in worship. A person prays for themselves and their families, but not the Mysteries. A Deacon leads the people in prayer and readings and teachings, but does not celebrate the Mysteries aside from assisting in dispensing the Holy Blood. The priests can celebrate the Mysteries, but can not ordain other priests and deacons or establish new sanctified Altars for new Churches. This is for the Bishops. See the natural ranking? We are all priests, and yet we all defer rightfully to the rank, preference, and opportunities given by God.