Contrary to popular belief, Wales, but
more especially Llŷn, does not suffer from torrential rain
constantly and the sun actually does make an appearance.
Llŷn benefits from the Gulf Stream which brings with it warm
weather and of course warm waters (particularly on the south
coast).
The Llŷn Peninsula only receives about 36 inches of rain a
year and gets over 200 hours of sunshine in the sunniest
month of the year. The higher relief of Snowdonia and the
other mountains in Wales do create more rainfall, but very
often this does not affect Llŷn as we are to the west.
Near Snowdon, over 200 inches of rain is recorded (on
average) every year and it is one of the wettest places in
Britain, with only places in western Scotland beating it.
Plus, the peninsula being what it is, means that like an
island, there are sheltered beaches for walking whichever
way the wind is blowing - so it won't have to be a bad hair
day!
And so, though Llŷn is in Wales, it does on average get
better weather than many other parts of the country, and on
many occasions we can be basking in sunshine while there is
rain over the mountains (its not the other way around very
often either!).

Mist lying below the mountains of Snowdonia.