If you are looking for a quiet place, Son Catlar is where you can go. It is a well equipped cottage including everything you need. Far enough from crowded cities.
You can spend a good time among orange trees. The position is perfect: not far from both mountains and seaside.
Palma is easy to reach by train, leaving the car at Inca’s station or, better, at Alarò/Consell which is easier to park.