A.V.
Speak to them about specifics. What brand are they going to offer you? Then research the options and sizes and find out. They may call a convertible a "baby seat" but it might fit your child just fine. I would go with a harness if possible. Your DH might be better versed in driving in Ireland but I'd get all the extra protection I could for driving on narrow roads on the "wrong" side.
(We brought ours, so I don't know what rental companies offer. We found that once the seat was in baggage we were unencumbered - we used the airport trolley for transport. It was fairly easy to get it to the rental car and then we had a seat we and DD were familiar with. You can also get an adapter to make them into a stroller, FYI.)