I would advise at that time of the year your best choice would be Belfast.
Mid to late November the city looks very pretty with the Christmas Lights.
There are plenty of things to do indoors incase its raining. Great choice of restaurants,pubs, clubs and shops.
It will take a 5-10 min taxi ride from the City Airport and 35 mins from the International Airport.
But then I would be biased coming from Belfast
Jack