From the airport, the easiest way to get here is to take a taxi. Alternatively, you can rent a car. There are plenty of car rental companies, so finding one won't be a problem.
You can also get to Alcudia by bus. First take the bus to Palma city centre. It will take you around 20 minutes. You'll arrive at Plaza Espana. Then youll need to walk around 300 metres to the bus station. From here, you can get a bus directly to Alcúdia. For more information
here.