I'm glad you liked it!
In brief, there are specific parts to it:
Liturgy of Preparation (done in private)
Liturgy of Catechumens (or Liturgy of the Words)
Liturgy of the Faithful (Holy Communion takes place in this part)
The most commonly used is the Liturgy of St John Chrysostom.
Was the Liturgy in the video you watched sung/chanted? It usually is, and there won't be any music.
We also make the Sign of the Cross from right to left.