If your father made a Will, the executor should take out a Grant of Probate, so that an application can be made to the Land Registry to transfer the land to the beneficiarie
...to the beneficiaries.
If your father did not make a Will, then his next of kin (that's you, or your mother if she is still alive) should take out a Grant of Administration Intestate. Then, the property can be transferred to the beneficiaries of your father's estate on foot of an application by the person who took out the Grant (called the Personal Representative).
You can make these applications yourself with the assistance of the Probate Office, or you can have a Solicitor do the work for you.
The application to the Land Registry is a second, separate application, but you won't be able to do that until you have a Grant from the Probate Office. They are in Phoenix House, Smithfield, Dublin 7 - of you have the time, energy and patience with burocratic form-filling you will be able to do this yourself. It is a pernickity process though and does involve making personal appearances in Dublin, so if you are not up for it then you should instruct a Solicitor.
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