to be simple:
~identify what type of house you want: rural, urban, rent to young family, singles, commuters, locals & location of course,
~check "oasis" government website for advice on moving to Ireland, I know your'e not moving here but it'll help.
~Can you get a bank in the UK to cover your mortgage ?
~If not, contact the following: Allied Irish Bank, EBS, Bank of Ireland, Bank of Scotland, national Irish bank or just look uo Irish mortgage brokers & let them work for you, they'll be paid by whichever bank may accept you as a client, choose a mortgage broker with the widest range of banks on their books.
~Check out the website of Irish Revenue "revenue.ie" to understand your tax implications.
~If you identify a property that takes your fancy on "daft.ie" you can get an estate agent to take care of the buying & later the subsequent rental arrangements (at a premium).
hope this is not too dumbed down but it'll get the ball rolling on your thread which is quite general in terms