Growing up, my family recited the prayer nightly. We ended with an Act of Contrition, rather than the Hail, Holy, Queen. We also did not meditate on the individual mysteries of the rosary.
The rosary began as 150 Patre Nostras, or Our Fathers that peasants recited in place of the psalms they heard being recited in the monasteries. Later it came to be the rosary as we know it, with the 15 mysteries (prior to the Luminous Mysteries–my favorite).
The Holy Rosary according to the Method of St. Louis de Montfort is somewhat different from its present form. I like the Introductory Prayer:
I unite with all the saints in Heaven, with all the just on earth and with all the faithful here present. I unite with Thee, O my Jesus, in order to praise worthily Thy holy Mother and to praise Thee in her and through her. I renounnce all the distractions I may have during this Rosary, which I wish to say with modesty, attention and devotion, just as if it were to be the last of my life.
we offer Thee, O most Holy Trinity, this Creed in horor os all the mysteries of our Faith, this Our Father and these three Hail Marys in honor of the unity of Thy Essence and the Trinity of Thy Persons. We ask of Thee a lively faith, a firm hope and an ardent charity. Amen.
He begins each decade with a short prayer, ie We offer Thee, O Lord Jesus, this first decade in honor of Thine Incarnation in Mary’s womb, and we ask of Thee through this Mystery and through her intercession, a profound humility. Amen.