Johnny,

A taxi to Playa de Muro will cost about 65-70 euros (basic price). You can get one from the airport easily enough (usually). Alternatively, services like Janer Bus or Majorca Airport Transfers can work out to be more effective.

I would have to recommend Janerbus, They are reliable and are the same price as a taxi. You get a quote by email, usually within 24 hours accept the quote no money is exchanged til you arrive in Palma and rest assured they will be waiting for you regardless of any delays. A excellent sevice, we use them every time. CBG

I agree with CBG, Janerbus have given us great quotes for May break, and as there will be 6 of us, we will have a minibus.
No monies up front, just pay driver half total on journey to hotel, plus half balance as deposit. Then small amount on return.
All done by e-mail, proffessionally done with predefined pick up points for PRIVATE journey

Mark