This is the prayer mentioned by Father and Jim in the video:
Prayer of Consecration to
the Immaculate Heart of the Queen of Heaven
O Mary, Virgin most powerful and Mother of mercy, Queen of Heaven and Refuge of sinners, we consecrate ourselves to thine Immaculate Heart. We consecrate to thee our very being and our whole life; all that we have, all that we love, all that we are. To thee we give our homes, our families, our country.
We desire that all that is in us and around us may belong to thee, and may share in the benefits of thy motherly blessing. And that this act of consecration may be truly efficacious and lasting, we renew this day at thy feet the promises of our Baptism and our first Holy Communion. We pledge ourselves to profess bravely and at all times the truths of our Holy Faith, and to live as befits Catholics. We pledge ourselves to keep the commandments of God and His Church, in particular to keep Holy the Lord's Day.
We likewise pledge ourselves to make the consoling practices of the Catholic religion, and above all Holy Communion, a central part of our lives, insofar as we shall be able to do so. Finally, we promise thee, O glorious Mother of God and loving Mother of me, to devote ourselves wholeheartedly to the service of thy blessed veneration in order to hasten and assure, through the queenship of thine Immaculate Heart, the coming of the Kingdom of the Sacred Heart of thy dear Son, in our own hearts and in those of all men, in our country and in all the world, as in heaven, so on earth. Amen!