To save money take the airport express bus located on the 2nd floor arrival hall near entrance 8 at Suvarnabhumi Airport.
There is a ticket office for the bus which only cost B150. The bus you should be getting on is number AE1.
The stop to get off on is next to the Montien Hotel, which is directly across Patpong red light district. The bus ride should take about 1 to 2 hours.
Taking a public taxi will cost nearly B350 including tolls and airport surcharge.
The Red Light Store