How far is this place to Paphos we're staying in Paphos can you get here by bus just looks like a nice beach
Peyia is a rather big area.
Coral Bay is at the southern end of it and that can easily be reached by bus from Paphos - they run about every 15 minutes from the bus station near the harbour and it takes maybe 20 minutes to get there. It's a nice ride along the coast.
You can get off the bus on the Coral Bay main street (where all the bars and shops are) and walk to Coral Bay beach or stay on the bus to where it terminates and you are at Corallia Beach, which many people say is the nicer of the two.