I want to clarify one thing: when I speak of the False Self and the True Self, I am not talking in any way about multiple personalities. Here is an alternative way to think about it:
True Self: identifying the heart as the center of yourself; finding and giving love as the primary purpose of communicating; accepting, understanding, resilient.
False Self: identifying the brain as the center of yourself; finding and giving information as the primary purpose of communication; critical, judgmental, fragile.
I guess we can add a third: Barbarian Self: identifying your body as the center of yourself. Enjoy your hermit lifestyle, buddy. You won't be reading this.
Or as Freud put it:
True Self centered in the superego, sort of.
False Self centered in the ego and/or the id.
The False Self isn't your enemy. It's your best friend, and has been from infancy. What you need to know is when it's responding in a situation, or your heart. Your goal is to let your heart, your True Self, be in charge and make all your decisions. At times you will definitely need your mind to help choose, but in the end it is your heart that makes all calls.
I hope this helps.