There really isn't a best time to visit the Amalfi Coast in Italy. However, the winter months tend to be without sun most days, but the temperature is by no means cold.
The area is generally most crowded in summer. However, there are a great many visitors who are either trying to avoid the high summer temperatures, the crowds, or the peek season prices, who choose to visit in the spring or fall shoulder seasons.
The Amalfi Coast is least crowded in winter. However, the weather is cooler, and the sky tends to be overcast much of the time. Plus many hotels close for the off season, beginning in November, through to March.
In summer, the traffic is so heavy that local cars are allowed to drive only every other day, with even-numbered license plates one day, odd the next. Buses and tourists are exempt from these restrictions. However, the fact that such restrictions on traffic are necessary indicates how busy the roads are. So it you intend to tour the Amalfi Coast area of Italy by vehicle, the off seasons are probably your best bet.
NOTE: Make sure you don't miss Ravello, the hidden treasure of the Amalfi Coast, or you'll miss the most breathtaking panorama of the entire coast.
The official name of the Amalfi Coast is the Costiera Amalfitana. The scenic drive along the 50 km of amazing coastline is the attraction most visitors seek, with the road twisting and turning above the scenic Mediterranean.
There are 3 ways to travel along the coast, by bus, car, or taxi.
The best choice for enjoying the sights affordabilly is by bus. You can sign up for a tour or opt for the convenient and inexpensive SITA Blue Line Buses that run many times a day between Sorrento and Amalfi or Salerno. Sit on the left side of the bus if you are leaving from Sorrento to be on the seaside. Once in Amalfi there are other buses, the Orange Bus Line, that takes you to Ravello or Salerno.
If you want, you can take the bus only in one direction and return from Salerno by train. You can return from Amalfi by boat or ferry. If you are visiting the Amalfi Coast in the summer months, remember that the buses can fill up early in the morning.
You can drive yourself, but may not be able to do as much sightseeing if you're the driver. The volume of traffic requires that you focus on the road, especially since the center line appears to be only a suggestion, with whoever gets to a lane first assuming they have the right of way.
On the upside, driving your own car will let you visit the towns of the Amalfi Coast at your own pace, but be prepared to pay exorbitant parking fees... if you can even find a place to park at all.
The third option is to hire a taxi. This is an expensive choice, but local taxi drivers pick you up at your hotel, stop when you want, give you insights into the area as only locals can, and deliver you back to your hotel relatively stress free.
No matter how you travel along the Amalfi Coast, it will be a drive you'll never forget.