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The Singaporean economy is focused around five areas: electronics, chemicals, engineering, IT, and biomedical sciences, so if your background is there, you've an advantage. However, these are not the only areas of work available. If Singapore interests you, I suggest you start reading about Singapore job hunting strategies (note that those are four separate links) and then hit the many Singapore job sites (again, four links).
And how to get a passport?
Singapore River
Photo by Edwin Lee
Once you are designated a Singapore Permanent Resident (SPR), you only need to wait two years before you can apply for citizenship in Singapore.
That's it. From start to finish, you could have a Singapore passport in as little as two and a half years. The food is fantastic, the official language is English and the economy is still going strong.
There's just one catch: Singapore does not recognize dual citizenship. Of course, once you have permanent residency, you may not find this to be a problem, but in the long run, it's something to consider.
And if you've heard the rumors that Singapore has banned chewing gum, they're true. Reading about why is interesting.