It’s beautiful, chic and underused. It would be a marvellous choice with your childrens’ names. It’s melodic and a very quick three syllables, so it still feels short which you previously mentioned looking for.
[name_f][/name_f]I’m based in Austalia so I don’t know about pronunciation in the US, but I thought [name_f]Ivanka[/name_f] would be a good reference point for how people may pronounce [name_f]Irina[/name_f] given the similarities (three syllables, first syllable pronounced ‘ee’, and same rhythm). I imagine people would already have a good understanding or take minimal correction, but you would know best.
[name_f][/name_f]I generally feel pronunciation concerns tend to happen less often than we expect. Since most challenges occur with first meetings or incidental meetings, and the people in our regular social circles quickly learn the correct pronunciation. That said, we all have different levels of tolerance for different issues.