We stayed at Residence la Tavolozza in Positano last May and loved it. Celeste and her daughter and her sisters were all very friendly. The rooms were spotless and the cost was 85Euros. We had a balcony looking at the sea. I would love to go back there. There are some great restaurants in Positano. The Three Sisters had wonderful pizza. Cambuso had great prawns.
We took a boat to Capri from Positano and did the Blue Grotto thing - very fun! We took the train to Pompeii for a day trip. We took the bus to Amalfi and then up to Ravello for another day trip. Amalfi was a big tourist trap. Prices were unbelievable for a small sandwich. We wished we had skipped Amalfi.
To get to Positano we took the train from Rome to Naples. We took a taxi from the Naples train station to the port and then took a boat to Amalfi. Then took a bus from Amalfi to Positano. The scariest ride of my entire 50 years was the taxi in Naples. But arriving by boat to the Amalfi Coast was very fun.