I find Paphos very touristy and unCypriot. You are more likely to meet other nationalities and to me the fun of a Cypriot holiday is meeting the locals.
If you wanted to be in town the Kanika Pantheon or Curium Palace in Lemesos are good choices with places to walk to in easy distance.
The other very nice area is the Amathus area where I have mentioned before Elias Beach, Hawaii Grand, Four Seasons, around here you can walk and join the beach front path which is lit at night. Another hotel away from the noise but on the sea front is the Holiday Inn but have a sea view room since the inland view will be facing the road and the traffic.
The Troodos mountains are close at hand from Lemesos and you can make your own routing by car, or take one of at least two alternatives offered by local tour operators plus the chance of jeep safaris.
If you decide on Paphos then the Athena and the Athena Beach are good. Visit the Sunbow Restaurant near these hotels for Cypriot food with a difference.