By sea
Irish Ferries and Stena Lines run regular and fast ferries from Ireland ( Dublin & Dun Laoghaire ) to North Wales ( Holyhead ). From Holyhead there is a train to Llandudno, change at Llandudno Junction.This method of travel isn't the fastest way of getting from home to Llandudno but it is definitely the most adventurous and honetly many sites will be seen along the way. It is much more exciting arriving in Wales on a boat rather than entering wales on the motorway in a car.
Irish Ferries:
Tel: 08705 171717 www.irishferries.com
Stena Lines:
Tel: 0875 707070 www.stenalines.co.uk