One website might be all you need:
https://www.wildatlanticway.com/home
The drive from Cork all the way up through Donegal is one of the best drives in the world IMO (Irish roads and drivers notwithstanding, from a landscape perspective anyway). If you can make the time to do all of it, I'd definitely recommend it (would be amitious, and still leave you a ways from Dublin), but even if you can only get the SW corner done you wouldn't regret it. The Kerry/Galway/Cork triangle of the country has no shortage of things to do and see (beyond the Cliffs of Moher and the Blarney Stone, if those are on your bucket list at all).
Dublin is more of a 'one day' city IMO. Kilmainham Gaol, a 1917 tour, and a walk down O'Connell street to Temple Bar to Trinity College and you've basically done the main tourist stuff. After that it's looking for stuff you're interested in. Keep an eye out for what sporting events are going on (seeing a GAA game in Croke Park is pretty cool, even though the stadium wouldn't be full for any game this time of year). But I think the best parts of Ireland are the non-Dublin ones myself so I'd recommend hanging out on the west coast as much as you can.