We walked from the Cruise ship area, along waterfront, to the Information Kiosk, and bought tickets for trip to Blue Eye Hole from there. Lady in the Info Kiosk was very helpful and had a good grasp of the English language. Hope this assists!
We hired a taxi to drive us from Kalemi to Girokaster and he stopped on the way for us.
Taxis are really economical in Albania.
We a hired local taxi driver at the cruise dock (you tender in) for the day who took us to Butrint, the blue eye, and Kekursi castle. Visiting all 3 places took 4.5 hours and we paid the taxi driver a flat 50 Euros.
No, you have to find your own transportation. There are many taxis by the port that will take you. However, it is very far and will be expensive. You would have to ask if the taxi is willing to wait for you while you explore Syri i Kalter. Otherwise there is a rental car company next to the office of the ferry, you can rent a car and go there yourself.
We have visited the place with our own car
If you are on a tour, they may have a bus waiting to take you there. We were on a cruise, but took a day tour to this mountain spring as well as to Butrint. Bus picked us up and brought us back, with lunch at a gorgeous hotel in between.
Get quick answers from The Blue Eye - Syri i Kalter staff and past visitors.