by train
If you're getting out of Nice towards Paris, consider taking the TGV approx €100, 6 hours. Cruising at 300 km/h is quite fun but the train only reaches high speed beyond Marseille and the train has a nice route with plenty of views of the coast. Be sure to ask for a seat on the left-hand side of the train when going west from Nice. Search online in advance to find dramatically reduced advance-purchase fares for which you can print out tickets yourself. These fares change on an hourly basis so check back often.
Some nice places just to the west of Nice include Haute de Cagnes, Antibes, Cannes and Saint-Tropez. East of Nice the trains stops at Villefranche, Monaco and Menton, and San Remo in Italy is also just a little over one hour away. To the North of Nice in the interior of Provence, Vence and St Paul are worth a visit for their hilltop old towns and boules pitches.
Villefranche is two stops east of the main station in Nice and is a rather nice village with a small beach and it is much less rocky than in Nice. The village is quieter and more relaxed than Nice. A train ticket from the main station in Nice is just €1.40 each way.
by bus
There are express coaches from Nice Airport to most places between Marseille, Aix-en-Provence and Genoa. These are run by the Lignes Express Regionaux LER, whose offices are next door to the main local bus station Gare Routiere.
Eze can be reached using line 82 or 112 from the Gare Routiere bus terminal in Nice. Note that the train station is in Eze-sur-Mer, which is a considerable walk from the village of Eze. There is an infrequent bus service connecting the village of Eze and Eze-sur-Mer.
helicopter
There are a number of helicopter services available with regular flights to St Tropez, Cannes and Monaco. The price is quite competitive, at only three times the taxi fare, and the views are stunning.