As you two are already married and your wife is a citizen of the European Union, you can stay up to three months in Ireland without restriction if you are moving together. Because you're planning to stay longer than three months, your wife needs to be engaged in any activity in Ireland (Work, Study, etc), and then you would need to apply for a residency permit once in Ireland because you are not a national of the European Economic Area but are married to one that has the right to work in Ireland. If this application is successful, you can get an Irish Residence Permit (IRP) with a Stamp 4EUFAM, which gives you the right to work without an employment permit.
You can find all the details for the residence rights for family members of EU nationals on the Citizens Information
Let me know if this was clear and if you have more questions.