Limnos has an excellent road network of aprox. 200km connecting Myrina (islands capital) with all the villages, beaches, touristic sights etc.
Buses service the whole island (well most of it), they are cheap, but they aren’t so regular.
Taxis are available all around the island of Limnos. Taxi ranks are found at the central square (KTEL) in Myrina, the airport and the port.
Numerous car and motorbikes rental agencies are scattered in the island. Renting a car is probably the most convenient way to see the island.