Getting to Turda is very easy because it is on the junction of 2 major roads in Romania. Turda had a great importance in the history of Transylvania because here, for the first time in Christian Europe, was declared in 1568 the Edict of religious freedom, the religious tolerance, a more important edict for Transylvanian identity.
Because Turda doesn't have a train station you have to go to the nearest town called Cimpia Turzii and from there take a bus to Turda; the price of the bus is around €0.75.
Turda is on the E60, E81 European roads so it has great access from all the parts of Romania. It is directly connected to most important locations in Transylvania: Cluj-Napoca, Alba Iulia, Targu Mures.
Turda can be reached by bus from Cluj-Napoca, major cities in Romania, most cities in Transylvania, and a number of major cities in Europe. Buses from Cluj leave frequently, operated by a company called Fany in luxurious Mercedes minibuses (not the regular city buses, but a mostly unmarked white Mercedes car). It has several potential stops if you're willing to stand along the road and flag it down, but the easiest way is to go to its first stop "Pod Traian" (on Piata Mihai Viteazu, across from Hystyle), where most people get in and where you can't possibly miss it. It leaves every hour (precisely on the hour in July 2018), for RON7 for the 35 minute journey. For the Salina mine, get off at the final stop (the roundabout next to the Roman Catholic church) and it's a 3km walk to the mine (there are also relatively infrequent buses, more info on departure location needed for those). Search for bus routes online.
Swim in the salty lakes and swimming pools around the city. Entry fees are moderate. A map and more details can be found online.
Turda does not offer too many opportunities for shopping. For groceries you can try the local market in the town centre or one of the Kaufland supermarkets.
Typical for this region is the "Turda Roast" meat with garlic and pepper together with a cake with honey that goes by the name of "Turda's honey cake".
There are severall buses going from Turda to Cluj every 30 minutes, most from the Fany company. The stations in Turda are not marked by any sign. The station "centru" is in the street Strada Avram Iancu 4-2 right next to the theater. You can often see people waiting there. The price is 7 Lei, which has to be paid directly to the driver. The driving time is about 25 minutes and drops you off at Piața Mihai Viteazu 31 in Cluj.