There is a bus going from Bangor, near the shopping centre, to Minffordd (then just walk two kilometres) for 6.40 GBP. The line is now called T2 (instead of X32), you don’t need to spend money for a 50 minutes taxi drive, like visit-portmeirion suggests. First bus leaves Bangor at 9:15. Travelline.co.uk is the page you want to visit for timetables etc.