Recently, the blog Byzantine, Texas brought some video to my attention which shows the latter. This comes within an Eastern Orthodox context, but it would be similar within an Byzantine Catholic context:
And here, to re-cap again, is one possible manifestation of the pontifical vesting within the Roman rite. I say one possible manifestation, because the vesting could also take place within a chapel, or even at the throne. As well, the prayers that are associated with each particular vestment could either be prayed together -- as seen in this video -- or (my own preference) prayed as each vestment is put on. (Readers may want to jump forward to the 2:00 minute mark.)
