Bangkok - from old airport to new - how?

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Posted by benji on March 12, 2007 at 12:25 am:

A week ago Bangkok's new airport's website published the following info:
Nok Air will move all flights from Suvarnabhumi Airport to Don Muang Bangkok Airport on March 24
March 4th, 2007
Nok Air will shift all of its 58 daily flights from Suvarnabhumi Airport back to Don Muang (Former Bangkok International Airport) on March 24, 2007, one day ahead of the Don Muang airport’s official reopening.
Nok Air, the Thai Airways International subsidiary, will provide eight check-in and three ticket-sales counters there at Don Muang. Two of the ticketing counters will be located on the departure level and the other one in the arrival hall.

My question is:
Since I will travel by Nok Air from Krabi to Bangkok (11:20 - 12:40, arriving at Don Muang), and then from Bangkok to Vientiane (15:20, leaving from Suvarnabhumi?) by Lao Airlines on the same day, how can I go from the old airport to the new one in the fastest (and cheapest) way?
Advices others than "take a taxi" will be appreciated :-).

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