Hi birdlady,
Im also from Ireland and hold a ppl licence and the Atpl exams which i compleated with Bristol groundschool.
You must keep in mind that if you do your flight training in Ireland Thats fine there is a good school in Weston airport called National flight centre like one other person has already suggested but be carefull because, there is only one school in Ireland that teach the Atpl course and that is pan aviation who are I.A.A registered which puts a big restriction on you if you would rather complete your cpl training under jar regulations C.A.A which i would suggest.
Hope that helps .....