I took a trip to the Mountain Dajti. It is in the Tirana region.
To get there, start from the Skanderbeu Square, there’s a mosque and the clock tower, next to the Tirana Opera, take the Porcelan (blue bus), that takes you to the end of the destination. Journey cost 30 leke.
From there, get off and start walking towards the mountain until there’s a sign that says Dajti Mountain board, with the arrow pointing left. I would say this is a 10-15 min walk, depending how fast/slow you walk.
Stay on the main road and don’t let other roads distract you. Keep walking up the hill, know that it will take you to Dajti. There are a few signs to indicate this. There is a blue sign “Teleferiku”, meaning cable car. It will point up to the road.
In a few minutes, you will see another sign, that is brown, leading to the building called Dajti Ekspres.
It cost 800 leke round-trip for the cable car. (UPDATE Dec 1, 2015: The price is 500 but it may be during off season!)
I also made a video of my journey there. Enjoy!