Blessed holy bread
The holy bread begins as part of the offering. From the offered breads, the priest chooses one Lamb for the Eucharist. The blessed bread shared after the Liturgy remains connected to that offering, so it is handled with reverence and received with gratitude.
This practice also expresses parish fellowship. The Church’s hospitality after the Liturgy should still carry the memory of the altar, because the bread points back to thanksgiving before God.
Holy Communion
During the Liturgy, the Church prays the Eucharistic prayers over the bread and wine, and receives the consecrated gifts as the true Body and Blood of Christ. CopticChurch.net calls the Eucharist the Mystery of Mysteries and the crown of the sacraments because the faithful receive Christ Himself.
The bread that I shall give is My flesh, which I shall give for the life of the world.
This is why Communion belongs to baptismal life, confession, repentance, fasting, and unity in the Church. A person receives the chalice as participation in Christ, not simply as a blessed reminder.
Why the difference matters
The difference lets the Church practice both hospitality and sacramental reverence. Blessed holy bread can be shared broadly according to parish custom. Holy Communion is received according to the Church’s sacramental discipline, under the care of the priest.