Changes

Take one of the buses 7/12/(Väike-Õismäe - Priisle (this is an express line and costs more)), 13/50/(Väike-Õismäe - Seli) or 54/55/58 (Mereakadeemia-Estonia (this is the only bus leaving from the town centre) or better still tram 2 (Kopli-Ülemiste) or 4 (Tondi-Ülemiste) to Pae. There The tram-stop to take from the centre of the town is Hobujaama. When you get to Pae hitch from the crossroad of Peterburi tee and Pae. Although buses in the 100's and 200's (e. g. 156) go there from Balti Jaam as well, they drive out of town and are therefore much more expensive than normal buses. Also, Pae street is still pretty much in town and hitchhiking from there might be a bit more difficult.

A better option is to hike from Pirita Jõgi, which is on the border of Tallinn. To get there one has to walk for some distance, though. One can go on any bus leaving from Balti Jaam to Loksa (e.g. 152). These are also buses that leave town and therefore cost more. To get there by Tallinn's public transportation one can take one of the buses 7/13/30/(Väike-Õismäe - Seli) 49 or 54 (Mereakadeemia-Estonia) to Priisle and then walk alon along Rahu tee until one reaches Peterburi tee and walk eastward. It's best to start hitchhiking from after the bridge over Pirita river. To get from Pae to Pirita Jõgi one can (in addition to 13 and 54) also take either number 50 (Seli-Pae) or 58 (Priisle-Pae) to Priisle.