My hair gets very frizzy. So this is how I straighten it. First I would take some of leave on conditioner and rub it in my hair then get a comb to straighten it out. Then use hair spray or mouse (strong because my hair gets back frizzy again easily). Then use a hair straightener to make it straighten it out. Then add more of spray to make it stay longer.
Control it using a good shampoo, conditioner, then put in some John Frieda Frizz Ease and Chi. You will be amazed how beautiful your hair will feel and look. I know cause my hair is naturally curly, too. People would love to have our curls. Also, don't forget to get a nice hair cut that flows in the direction of your curls.