Bangor

Smaller trains run up into Llanberis, at the edge of a crystal clear mountain lake and the jumping off point for trips into Snowdonia National Park.

Anglesey
particularly the Anglesey Sea Zoo, Pili Palas a butterfly palace and the 13th Century Beaumaris Castle
Caernarfon
to see the majestic 13th Century castle and the cute tiny town.

You can buy ferry tickets to Dublin departing from Holyhead at any of the travel agents on the town's one main road the High Street.