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From a girl's standpoint:
Since you colored your hair, I'd use shampoo and conditioner formulated for colored hair to keep it healthy and protected.
Additionally, when straightening your hair, I highly recommend using a heat protection spray to put on your hair before you start straightening. This will prevent your hair from frizzing and drying out, and will give your hair a smoother and shinier feel to it. You can find the product in any drugstore.
Good luck! 🙂