All three of those are valid ways to say it.
C) sounds like, you did not read the Bible at all before, and you just recently began to. A) sounds like a more general statement about your daily activities. B) sounds to me like you are very intent on learning the Bible's contents.
Also, as a work of literature, whether or not you believe in it, the Bible is a very fascinating and impactful work and I would recommend reading it for its importance in history alone. It may be an interesting English-learning project, too.