The sooner you realize that riding fixed is just the same as riding any other bike the better off you'll be.
You seem a little hesitant on the bike so I'd use a brake for the first while if I were you. I've been riding fixed for years and I still have brakes.
As everyone else is saying, learn to trackstand.
Learn to stop quickly without brakes with your feet in any pedal position.
Use your head. Risk/reward.....
oh.... and man up....