If you want to relax you can just rent a room and spend a week near the sea without going nowhere else that the beach. You can even visit every corner of the island through the 6 main footpaths that connects Aigiali with Chozoviotissa monastery and Chora, Katapola with Minoa etc The trails are very long though (Aigiali to Chora is about 4 hours hike) so they are suggested for the experienced hikers only (if you want to try do it early in the morning, later the sun will beat you for sure)
We did some smaller ones, usually paths that were leading to a church or an ancient site but we didn’t walk more than 30’ one way (under the sun 30’ is long). There are wooden signs that show the destination(in greek) and the time you need (pic1)
The island isn’t very big but it’s worth to visit some interesting places, sites and beaches. During the summer months there are some buses (pic 2) that cover the main places but you have to check the timetables at the bus stops because there are only a few of them (off season most of the routes don’t operate at all)
The routes are:
Katapola>Chora>Agios Pavlos>Aigiali 10:00, 16:30
Katapola>Chora>Monastery>Agia Anna Beach 10:00, 13:00, 16:30
Aigiali>Thoralia 10:45, 17:30, 21:30
Aigiali>Langada 11:00, 17:40, 21:45
There are taxis, especially at Katapola that will take you to Aigiali or wherever you want, I saw some taxi telephones on the bus stop so I will put them here in case you need one: 6937883838, 6932103077. At Tholaria I saw this on the bus stop:6973988702(midnight express)
The best choice to enjoy the island is to rent a car or a bike and visit every corner easily and with no stress about bus timetables. There are some great beaches that you can visit only by car. Many people like small 4x4 like this one in pic 3.
There aren’t many roads to get confused in Amorgos but there are always signs on the intersection to know where you going (pic 4), the historic sites are mentioned on special brown signs (pic 5)
The gas in Amorgos is expensive (on may 2010 we payed 1.72 euro per litre)
The boat is the only way to visit Amorgos (unless you have a private helicopter!). There is no airport at the island and the boat connection with Pireaus isn’t very frequent so it gets difficult for some tourists but I like it this way because you don’t see the masses of tourists that visit other more popular Cycladic islands.
We usually take Blue Star Naxos that departs from Piraeus at 17.30 and stops first at Paros, Naxos, Donousa before the arrival at Amorgos at 01.15am. The trip lasts about 8 hours but the boats are big and comfortable and there are several indoor and outdoor seatings, restaurants etc In may 2010 the ticket price was 32 euros one way.
There are 2 different ports in Amorgos! Katapola and Aigiali, so check both options for the day you want to travel and of course choose the port closer to the place you will stay (we always stay at Aigiali but some people prefer Katapola or Chora which is 5 km from Katapola). Pic 2 shows the port in Aigiali
From Katapola during the summer months you can take smaller ferries that goes through the small Cyclades (Donousa, Iraklia, Koufonisia etc) (pic 1)
The only way to get to Amorgos is by boat. Try to plan book boat tickets asap. Avoid the "Romilda" ferry at all costs! It's slow, dirty, completely non-smoker unfriendly and it gets packed (mostly by people who are on a tight budget or couldn't get a ticket on another boat). In addition, the crew is rude and unhelpful. Worst ferry trip I've every taken. The "Blue Star" is much better - totally worth the few extra euros.
You can reach Amorgos only by ship, one ship daily from Piraeus on high season, and two weekly frequencies of fast boats too, the time of arriving not always is a good choice, but you don't have a different one. Just accept it as it is. Amorgos well worth a little sacrifice.