We normally fly to Thailand with either Etihad, Emirates or Finn Air depending on the price, times and connections.
There are various ways to get to Hua Hin from Bangkok:
By Limousine
If you are coming straight from the airport, then you can use a private limo service from AOT Limousine. They can be contacted by email before you arrive on aotlimousine@yahoo.co.uk This is ideal as they will take you from the airport directly to the apartment in style! It is not expensive either at only around 3000 Baht one way, and you can book a return journey when you are at the airport if you wish.
By Taxi
Taxis are another option and they are all on fixed tarrifs with the meter running but you will need some money to hand for the express ways otherwise your journey will take quite a while longer, if you chose to visit Bangkok first then you can also come by train.
By Train
A 2nd class seat on an air conditioned Express train costs 380 Baht. Contact with friendly locals make 3rd class travel a great experience for just over 100 Baht.