Really depends on what you are comfortable with. I ride with clips on my fixie but clipless on all my other bikes (well except for the cruiser for obvious reasons). Since I do most of my commuting and running around on my fixie I like to wear street shoes.
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I'm not one for fawning over bicycles, but I do believe that our bikes communicate with us, and what this bike is saying is, "You're an idiot." BikeSnobNYC