If you haven't ridden a bike before at all I'd suggest that you don't start with a fixie. If you already know how to ride, and want to take up fixie riding, then go for a bike with front + rear brakes and good pedal-to-ground clearance(=short cranks).
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a good beginners road bike would be a Giant. This is because they sell at low prices and are very durable. They are also good beginner road bikes because when you have decided that you want to start taking the road biking competitively, you can easily upgrade the road bike to make it fit your needs.
i think it was my first two wheeled bike if you are planning to use it on the road rather than a road bike i would start with a sterdy mountain bike