I think you first have to decide if you want an Irish name or an Irish-sounding name....
Maeve, Oonagh, and Orla aren't 'Irish' names. They are versions of the Irish names Meadhbh, Úna and Órfhlaith.
There's the influence of regional pronunciation to consider. As already seen on this thread, Caoimhe is pronounced 'Keeva' in some areas and 'Qweeva' in others (though I agree with another poster that this is a close approximation, the Qwee portion of the name is softer than the English pronunciation would suggest).
Another example is the name 'Aobhinn'. Where I'm from, that's pronounced 'Eve-ing'. In other areas it's pronounced Ave-een. But I would spell that pronunciation as ÉibhÃn.
I think the big things to remember are that there are only 18 basic letters in Irish, and 5 of those can have accents applied. It really grates when people say their child has an Irish name, but then it has a non-Irish letter or accent in it. The following are not in the Irish language:
j, k, q, v, w, x, y, z. The only accented letters are these: á, é, Ã, ó, ú. There are no accents going in any other direction in Irish. There are also rules in Irish spelling - please remember 'caol le chaol agus leathan le leathan'. Vowels either side of a consonant are generally both narrow vowels, or both broad vowels. You don't get to pick and choose - this is the structure of the language.
I think Irish names travel fine. There are no more issues with Irish names than with ones from any other nationality. It's a name, and people learn them very quickly.
Boy's names I love are:
Cian (like Kian, but not quite, softer sounds in it)
Iarlaith
Daire
Ódhrán
Ruadhán
Girls names:
Ailbhe (not a fan of Alva though)
Éabha
Sadhbh
Aisling
Doireann
And just because I saw it mentioned earlier, 'Gráinne' always makes me think of the poor child in school who's names was often mispronounced as 'gránna' - the Irish for ugly. Poor child.