Everythings coming up Milhouse!
I have a fixed gear bike based on a Jamis Sputnik steel frame with a carbon fork that I haven't ridden in a few years. Y'all are making me want to tear that apart and return it to peak condition. That was fun to ride around the neighborhood.
Do it man! My primary whip is an old 07 or 08 Schwinn Madison I have set up as a fixed gear. Its a lovely way to ride if you don't live in the mountains or similar. I just did a ~20 mile ride this morning, that and a small bowl is a great way to start the day.