Zeb is right, go to Radio Shack - might be tough from Sweden... but, what you are looking for is one of those tiny little radio control HO cars. It contains all you will need including two tiny solenoids that are used to steer the front wheels. If you make your own then you would have to start with very fine wire or you'll only succeed in creating heat. The tiny motor used to power the rear wheels could roll down the windows… and it comes wireless to boot!
Anyway, check out the cars, they sell for 20 to 45 bucks here in the States.
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