He entered Davy Byrnes. Moral pub. He doesn't chat. Stands a drink now and then. But in a leap year once in four. Cashed a cheque for me once.
The oldest Pub in Ireland (The Brazen Head) is also a place to visit, and do not miss the possibility to be qualified as an Authorized Whiskey Taster at Jameson Destillery.
In week-ends you may go to The Merrion Square Art Exhibition which is Dublin’s only free, all year open-air weekend art exhibition.The Statue of Molly Malone on Grafton Street will probably make you too participate in singing Cockles and Mussels with The Dubliners
and hopefully meet a real urban Dubliner (as described in the more available book by James Joice than Ulysses). This News Paper Man can be met in the Temple Bar District.