We spent 4 nights of our honeymoon at Vlasis's villa and (Gylmar) and definitely recommend it. The location to Piso Livadi is perfect for privacy but also easy access to restaurants and shops under a 10 minute walk either by a pathway overlooking the sea or road. Small beach just in front was the clearest water we have ever seen and we've been to many Caribbean beaches - it was stunning. The home is very modern, great water pressure for showers, AC worked perfectly and a great layout if you come with the family.
We spent most nights just sitting on the patio enjoying the full sky of stars and view of Naxos. You can walk ~5k to the Golden Beach all by way of a footpath on the sea passing through several cute beaches, otherwise it's a 2eur and 10 minute bus ride - super easy.
We loved this side of the location for a more relaxing, local, less busy feel. We had been to Santorini with all the crowds, so this was the perfect change of pace and honestly our favorite stop on our honeymoon. I spent so much time researching Paros, Naxos, or Mykonos to visit and we couldn't be happier on our Paros choice for our style of travel (more local, off the beaten path, laid back - though the villa is luxurious so we definitely splurged there). We loved hiking the Byzantine Path, the beautiful beaches, and the laid back feel (and prices - restaurants were 1/2 the price of Santorini or even the other side of the island). If you wanted to visit the busy shopping and city center, it was just 20 minutes away too, with plenty of close boating options of going to AntiParos or Naxos.
We really hope to return to Paros again and would 110% recommend this villa!