They are packaged tourist places, though not quite in the extreme league of the north coast of Crete, but certainly they look to the ‘managed’ traveller more than the individual. September is a good time, though the start of September is still pretty close to high season and you will need to make bookings in advance. The waters of the Ionian are a bit chillier than the Aegean, but the islands sport some very spectacular beaches and seaside resorts. They are very popular with Italian travellers in their boats and motorhomes.
Remote and unspoiled Crooked Island has little in the way of tourist facilities, but it does boast gorgeous beaches, bat caves and flamingos, and also serves as a turtle nesting spot. One of the four islands that form an atoll hugging the striking shallow waters of the Bight of Acklins, it hasn’t much changed since Columbus sailed down the leeward side through the narrow Crooked Island Passage. There are miles of untouched, white powdery sands, coral gardens, limestone caves and cliffs, remnants of slave and cotton plantations, ancient churches, fortifications and mangrove-lined waterways.
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.