You can easily explore the center of Telsiai on foot. On the square where the Kestucio, Turgau and Respublikos streets meet, you find the clock tower. Just up the road is the tourist office and a big Maxima supermarket.
Telsiai is actually situated on a lake which is very close the town center. Due to bad weather we didn't check it out.
There is more to be seen in Telsiai like the Samogitian Open-air Rural Museum, the Samogitian Japanese farmstead museum and the Alka Museum.
This palace was only built at the beginning of the 20th century. Next to the cathedral there is a priest's seminary which dates back to 1740 but it was closed under Tsarist and later Soviet rule and only reopened in 1989.
At the end of Turgaus avenue you will see this church hidden in the trees. There seemed to be something going on when we were there so we didn't go inside.
If you use public transport the best option to get here is the bus. I drove here with my mum in a rental car, but I took the picture of the bus station a year later when sitting on the bus from Klaipeda to Siauliai.
Next to the bus station there is a shopping center.