You're not supposed to enunciate "Suvarnabhumi" as spelled in the English language. Not when you're talking to a taxi driver. "Where?" They'd frequently ask again. "Oh, the airport!" Try "suwanapoom". I've even heard this pronunciation from other farangs. It sounds "cute" though.
Skyway in Bangkok en route to the airport. Suwanapoom, yes?
A taxi drops you off here, then you cross the street.
Walk towards the airport's entrance. this is already the 4th floor of the airport, the Departure Hall.
There are wrapping stations here when you need to secure a few things. They charge 120B ($3.90) per article whether it's a huge baggage (see below) or a tiny umbrella (an umbrella gets compulsively wrapped that it would seem you'd need three years to unwrap it). Cash basis only. Left luggage counter is at the 2nd level near the Tourist Police Assistance Station.
This is a common sight where an array of the most colorful flowers (lots of orchids) are on display at the departure hall all year round.
General information and a little history of Suvarnabhumi - http://eye-in-the-blue-sky.blogspot.com/2008/04/bangkoks-suvarnabhumi-international.html