We don’t actually celebrate St. Joseph’s feast. The only tradition we have which is Irish in origin, is that St. Joseph’s feast day is the day to cut back or trim the yew bushes and the arbor vitae. Where it began I have no idea.
St. Joseph’s day is a major celebration for Catholics, it is not only a feast, but a Solemnity. The Hymn from the Tridentine Mass is beautiful! I doubt I could find it on the internet, so unless someone really is interested, let me know because I’ll have to type it here from scratch from my missal.
The Litany I can probably find online, and I imagine all parishes with St. Joseph as their patron will recite it before or after Mass on that day (I would hope!)