"Eire" is a weird exonym. The country this happened in is called Ireland (officially and colloquially). It's a republic and shares the island (also called Ireland) with a non-sovereign country called Northern Ireland. It's often referred to as the Republic of Ireland, which is a fine description, but not the official name.
In the Irish language, the name of the country is "Éire", but saying that in English is like saying Magyarország instead of Hungary. The accent on the first letter isn't optional, and the pronunciation is difficult, it's hardly worth it.
Please just say "Ireland".