The best way to visit the beautiful areas of Amalfi and Sorrento and Capri and Portafino is using Naples as your base.
You can use the Circumvesuviana train system from the Central station which stops in Pompeii and Sorrento from Naples and it only costs 2-3 USD each way.The only problem is they have no AC so be prepared by bringing water with you.
From Sorrento you can catch a group of Buses that will take you to a variety of cities.They are new and have AC that really works.These Buses are cheap about 3 USD but they can be crowded.I took a Bus to Amalfi and Portafino.
You can also go to Capri with a Ferry and either come back to Naples or go on to another city like Portafino.
You can find prices online for the different options available. I would rather not give a specific Company since it would appear I was getting paid for the recommendation.
The Hotels in any of the cities along the coast tend to be much higher then Naples so if you want to keep your costs low having Naples as your base will help your money go a much longer way.
Recently Starting in Tirano Italy got a real buzz riding The Bernina Express to Chur in Switzerland.
Swiss Trains are expensive so I purchased the same Ticket with a stop in Singen in Germany through Deutsche Bahn…… the same Ticket purchased through Swiss Rail is about 135USD my Ticket was less then 33 USD.
The trick is to make your last stop in Germany and getting off early if you are going to in my instance Zurich.
The Train leaves this sweet and relaxing town around 2:30 PM so rather then connect from Milan or another town I arrived the night before and stayed at a Hotel that is a few feet from the Train station.
The Hotel is called Binario Zero and was very modern and clean the only problem is you must check in at another Hotel a short distance away.
I booked the Panoramic car which cost an additional 15USD but it was more then worth it.
After leaving exactly on time in Swiss style we started to travel around a nearby lake before beginning our ascent.The Train offers you an App to download so you can have a Narrator in the language of your choice give you a minute by minute explanation of this wonderful ride.
The Photos will give you a better idea then anything I can tell you.
The main point is Go…………. this is a great 6 hour ride that you will remember for the rest of your life.