How does free will affect my faith?

Believers eventually encounter the age-old question that continues to be debated today: Do I choose God or does God choose me? The discussion of free will usually devolves into a Calvinism vs. Arminianism vs. Open Theism discussion — all of which talk about how faith relates to choice, intellect, and controlling our destiny.  This question strikes at the heart of how our actions, communication, and relationship with God is structured.