Some add this meditation before saying the blessing on the mitzvah of wrapping oneself in the tallit.
Bar'chi nafshi et Adonai, Adonai Elohai, gadalta m’od, hod v’hadar lavashta. Oteh or kasalmah, noteh shamayim kay’riah
Spread the tallit wide in front of you and look at it while saying this blessing.
Once the blessing is complete, wrap it around yourself. Many wrap it over their head for a few moments, to fully surround themselves in the mitzvah, before settling the tallit back on their shoulders.
Baruch atah, Adonai Eloheinu, Melech haolam, asher kid’shanu b’mitzvotav v’tzivanu l’hitateif batzitzit.