As for Palma city, the easiest way to get to know it is by taking the Number 50 sightseeing bus, which runs every 20 minutes throughout the day and takes in all the major sights of the city. You can hop on and off the bus at any point and tickets are valid for 24 hours.
The most elegant way to see the sights of Palma is by galera, which are open top horse-drawn carriages. The knowledgeable drivers can take you through the labyrinth of narrow streets, pointing out churches and monasteries, small squares and magnificent mansions en route. They always stand along the Avenida Antoni Maura and Palau Raial, alternatively you can flag one down in the street. The prices they charge are regulated by the Palma City Countil and will be displayed. For an hour tour of the city you can expect to pay somewhere in the region of 40€.
Arriving by air, to Son Sant Joan International Airport some eight kilometers from the city centre, there are different ways to get in to Palma city centre. There is a shuttle bus that runs every 15 minutes from 6.10 am to 2.15 am to Plaza España in the centre (and onwards to the ferry terminal and port area) which costs approximately 2€ per person. The most convenient option is perhaps the door-to-door taxi service provided by any of the numerous taxis waiting outside the arrivals hall.
Palma has a public transport system operated by the Empresa Municipal de Transports Urbans de Palma de Mallorca, abbreviated as the EMT.
To find bus and train schedules for the rest of the island:
There are two railway lines in Mallorca and both have terminals in Palma’s Plaza España. The first is a 27 kilometer long narrow gauge track that runs north through the Sierra de Tramuntana mountains to the town of Soller. It is the central part of many tour operators’ “Scenic West” or “Western Highlights” type day trips. Tourists and locals alike have been making this journey for the past 90 years in the vintage brass and mahogany carriages that are a trademark of this train, whilst admiring the breathtaking scenery.
The other route is more commercial than scenic and heads north across the plains to the town of Inca, passing through Marratxí, Santa Maria del Camí, Consell, Binissalem and Lloseta on the way. Once at Inca, you can then either catch a bus to the Lluc monastery, or continue on the train to either Sa Pobla or Manacor.