without any income details it's impossible to give advice as to how much of a mortgage you could hopt to receive.
also does the rent on your property in the UK cover the mortgage there?
do you have any savings?
what is the house in Ireland worth, are you getting much of a discount?
do you really want to move into it?
could you sell the UK apartment and use the proceeds if any from that to help fund the mortgage?
your father can't sign the house over to you without the permission of the bank as they hold the deeds - you'd at least need to be able to come up with a mortgage of 90k.
there may also be tax implications for both your parents and yourself.
it's not an easy question to give an answer to without many more details.