If you'll be going straight to Palm Beach, you can fly into FLL (Fort Lauderdale) or PBI (Palm Beach Int'l Airport)
You can take an Uber, Lyft or rent a car.
UberX: Approximately $85–$90 Uber Green (electric vehicle): Approximately $88 UberXL (for groups up to 6): Approximately $153 Uber Black (premium option): Approximately $177