What is the best way to travel from conwy to caernarfon by public transportation?
Take the bus with one connection which takes 1 hr and 15 mins. There appears to be no direct train.
Some of the bus departures should be direct. Remember that there are fewer buses on Sundays.
This site will tell you:>https://www.traveline.cymru
(It advises using a bus with one change - in Bangor). Note: that if catching a train at Conwy - that you hold out your hand to signal to driver to stop. (Virgin Trains don’t stop).