What you have instead are shuttle buses that will take you - plus lots of other people with huge amounts of luggage & children to the Transport Centre a couple of kilometres away. From where you'll be able to haul your bags off the bus an wait in a queue for a taxi.
(Alternatively there are airport buses and limos which you can catch outside the arrival's hall.)
See http://www.bangkokairportonline.com/node/52
Happy holidays
![:wink:](/storage/forum/smilies/icon_wink.gif)