Obviously Ireland is really small so you can cover lots of highlights.
I would class these as must do
Kinsale - just outside cork city and beautiful village with great restaurants and shops etc
Go further into west cork and see; clonakilty (big market town, michael Collins museum if you are interested)
Glandore - tiny by lovely fishing hamlet (lunch in Hayes pub)
Schull - lovely foodie fishing village
Glengariff - get the boat to garinish island.
Then cross over into Kerry and go to
Kenmare - quite upmarket town
Dingle - gorgeous, fun village, great bars (dick Mac’s) restaurants etc
Then I’d go to Connemara - my favourite part of Ireland
Clifden - ‘ capital’ of Connemara, big town, lots going on.
Roundstone fishing village
Killarney harbour tour and Kylemore abbey.
visit one of the island - inisbofin is my favourite
Go through the Doolough valley famine walk
Westport - gorgeous town with lovely bookshops , shops, coffee shops etc
Around all the above will be beautiful walks - coast and hill walks etc and lots to see and do.