Krabi airport opened in 2000 and is flying to an ever increasing number of destinations. They is now even an international terminal. There is an ever changing number of combinations which fly internally and internationally to Krabi. Rather than give you lots of quickly outdated time tables, we've provided links to each airline's time table.
We can provide you with transfers on request, but you will find it cheaper, and very easy to arrange this yourself on arrival at the airport. From the airport a taxi costs about 500 Baht to Ao Nang. From Ao Nang it's a 15 minute boat ride at about 60 Baht per person (more if it's dark) to Railey Beach.