Providero is a small, unassuming venue in Llandudno Junction but you'd be very foolish not to check it out.
It's run by a really friendly chap who knows his stuff. The coffee is perfect, however you choose to have it and there is also an excellent selection of loose teas. Should you feel like spoiling yourself there are homemade treats to accompany your drinks.
I can't recommend this place enough. Seriously the best coffee I've ever had.