If it's wild and windswept scenery you're chasing, head for Little Orme. This unique piece of coastline is especially lovely to visit at sunrise or sunset.
You'll have no end of sightseeing choices when spending time in Llandudno. Little Orme is a great place to start here, but there are lots of other interesting attractions to discover. Conwy Castle, Venue Cymru, and Llandudno Pier are near the coastal attraction and will top off your day nicely.