I'm with Jesus... My fixie is more for short trips and tooling around town, but even on the touring commuter bike I run Shimano M-520 pedals with a pair of Mavic Alpine shoes. Good for when you're on and off the bike a lot, or where you have to do a lot of walking. Plus, I can ride in regular street shoes whenever I need to.
SPD-SLs are on my "speedy" road bike for long, most open road rides.
I'm fairly new to fixed-gear, so yes -- I run brakes front and rear, "just-in-case." When I need 'em, I need 'em bad ;-)