Hi Elsebeth,
New years in Dublin, you are in for a treat. It is a great city to bring in the bells with.
There are loads of great restaurants in Dublin worth looking at. You can find an extensive list of the ones registered with Tourism Ireland
hereAs for Hotels where you could have dinner, The list would be just as extensive.
The Merrion is very popular as is the
Fitzwilliam Hotel and
The Marker HotelYou can find further options from
the list here if you need them.
I hope this helps you out but if you need any further advice, let me know.