From Dublin, rent a car, drive to Belfast➡️ (London)Derry➡️Galway. Don’t miss the Cliffs of Moher & the Dark hedges are cool (a little touristy)
We did this fun Game of Thrones driving tour route: http://www.visitcausewaycoastandglens.com/Game-Of-Thrones-Tours-A163
In Dublin we stayed at a hostel called Oliver St. John Gogarty and the location was great (although you won’t get much sleep- its a little loud). In Belfast, Global Village was great and even had a dryer! Umm Sleepzone in Galway was full of nice people and comfortable and safe.