The archangels preside over all the angels which interact with us here on earth. Each of us has a kind guardian angel to guide and help us to do good. Our guardian angels look to the Archangels as their models and guides. The Archangels did the great work of guiding the heroes of the history of salvation, which we read about in the Bible.
But the Archangels would not want us to forget that they themselves stand below countless hosts of higher angels. These celestial choirs sing the praises of God perpetually in heaven.
So we venerate the angels and archangels; the angels and archangels venerate the cherubim, seraphim, thrones, dominions, virtues, principalities, and powers.
Today we keep a special feast for the Archangels. But, of course, as we discussed a little bit on Sunday: every Mass makes a feast for us in communion with the angels. The angels celebrate the perfect liturgy of heaven, and we praise and worship God fittingly to the extent that we participate in what they always do.
N.B. We can look forward to more extensive references to the multiple orders of angels in the revised translation of the Missal. The translation we have been using often elides references to the various orders.