Both closings can be done on the one day. Load up in Dublin in the morning, drive to Limerick in the afternoon, pick up keys late afternoon and move in. Your solicitor has to be organised,experienced and willing to go the extra mile to make it happen but it is possible. Money can be transferred electronically between solicitors. Even if you end up staying one night in a hotel because you cant face the unpacking at the other end, its a lot cheaper than bridging or storage. Same day closings on chains have now become common. Talk to you solicitor about it.