We chose the Artemis trail for several reasons - it was circular so we could start and finish at the same place, it was an easy walk with very little climbing although it was necessary to scramble over odd rocks along some of the upper levels and it was a less than 10km walk

Details of the trail here and link below it to various other walking trails around Troodos.
Artemis Trail (Circular)
Starting point: 300 m from the junction between the Chionistra road and the Troodos – Prodromos road at an altitude of 1850m Length: 7 km – Duration: 2,5-3 hours – Degree of difficulty: 1
Points of interest: The Pinus Nigra forest, rare species of flora and rocks of the area. Of historic interest are the ruins of rough fortifications built during the final year of the Venetian occupation of Cyprus (1571 AD) by a group of Venetian generals who decided to put up a defence against the Ottomans at that point. The route is circular going round Olympos mountain peak (Chionistra) at an altitude of 1850m. Provides spectacular views in all directions. It ends at a point on the Atalanti trail.
http://www.lovetroodos.com/discover-tro ... rails.html