These groups are generally better connected among themselves than with other groups, so you are probably better advised to target them on this basis. As it’s your first time to Greece, you may want the full-on Greek island experience and you could easily fill your five weeks flitting from one island to the other in the Cyclades. You could start in Kea and work your way down to Milos via Kythnos, Serifos and Sifnos then segue to Paros and Naxos. Dip down to Santorini, up to Mykonos and back to Piraeus. The map will also show plenty of other Cyclades islands to pick and choose from such as Ios, Sikinos, Folegandros, Amorgos, Syros, Tinos and Andros – yes! too many choices, but you will find that sticking to one group it will be easier to get between them. Realistically for a period of five weeks you will not want to be doing more than 6-8 islands.
Naxiots once made considerable fortunes exporting potatoes, cheese, marble and emery. Locals bequeathed undesirable seaside plots - useless for farming - to their laziest offspring. When tourists cottoned on to the island's scores of fabulous beaches, these wastrels found themselves sitting on gold mines. The west coast of Naxos is fringed with mile upon mile of powdery sands. Agios Prokopios and Agia Anna delight toddlers and teenagers alike with their shallow waters and beach bars. As you head south, the beaches get wilder: Plaka, where you can gallop across the dunes on horseback, Mikri Vigla for windsurfing and kitesurfing, and crystal-clear Kastraki.
Cooing American and Chinese honeymooners line up to take selfies as the sun sinks behind Santorini's caldera, the flooded volcanic crater. That view may be a romantic cliché, but it still takes your breath away. A volcanic explosion blew out Santorini's heart 3,500 years ago, leaving black-sand beaches, vertiginous cliffs in psychedelic hues, and swirling rumours about Atlantis in its wake. The eruption also preserved the ancient city of Akrotiri under layers of ash, and created fertile ground for exceptional Assyrtiko grapes and Vinsanto wines. (Sample them at Sigalas and Vassaltis wineries, paired with delicate dishes that let the grapes sing.)
The almighty church has kept nightlife in check. If you must see and be seen, head to quietly glamorous Astivi or Stoa bar, on miniature Agia Lesvias square, in Hora. Beach life is generally languid and low-key; Psili Ammos and Livadi Geranou are our favourite hideouts. Dinner reservations are essential at Benetos, for Med-Asian fusion on an organic farm, and Lambi for grilled fish on a purple pebble beach.