The first time we rented a house in Italy was on the Amalfi coast.
I have stayed several times on the Amalfi coast, usually in Sorrento, but the last time we rented a house in Praiano.
We did not hire a car, as the driving here can be quite overwhelming so we used the local shuttle bus to go everywhere we needed to both day and night. The shuttle went to almost anywhere on the Amalfi Coast.
The cost of a house rental on the Amalfi coast is substantially higher than most other places in Italy however the convenience of having fully contained accommodation centrally located can make a vacation so much easier and less stressful particularly if staying for a few weeks. For short stays, I recommend one of the many B&B’s, guest houses or hotels. Actually you could also stay in a Monastery.
Many of the villages on the Amalfi coast have hundreds of stairs down to the beaches. In Praiano there were 400 steps from the highway down to the beach, imagine the walk back up. If you are not a fan of stairs, lots of them, I would suggest staying either in Amalfi town itself which is right on the water or in Positano. Not cheap but it is the Amalfi coast where dreams are made of.