even in Croatian, we use "kunić" (pronounced /kǔniːtɕ/) for the domestic rabbit (somewhat analogous to the English distinction between 'rabbit' and 'hare'). also, we call the marten "kuna", which provided the name for the official currency!
You can look up technical or specialist terminology in An Bunachar Náisiúnta Téarmaíochta don Ghaeilge/"The National Terminology Database for Irish" at www.tearma.ie. There is an entry for the mionchoinín gorm in the rabbit category.
Thank you! I wonder why coinín is lenited though? Does this have something to do with the colour? I haven't made a lot of progression in Gaeilge yet, but I hope I can learn more to understand my favourite songs ^_^