Hey Ashley, about not being big on religion, I can relate. I HATE being called religious! I'm a person in search of reality, and my life's experience has shown me that this is reality. The cool thing about real Christianity (as opposed to just "church people") is that, in my opinion, religion only enhances Christianity, but Christianity is not solely a religion. It is a pursuit of the truth.
Okay, sin, great point to start on. Can you name some specific contradictions, as examples? You'll find that actually, there are very few contradictions among various translations, in fact most of them are cases in which an "a" should've been a "the" or something like that. Nonetheless, there's a way around them. The amazing thing about the Bible that also aides in its credibility is that it has maintained its consistency over the centuries. Even while various translations (more as time goes by) stray in different directions, we still have access to the original Greek and Hebrew texts, and THAT hasn't changed. So when in doubt, see what you can learn about that.
Now, don't get me wrong here -- you don't have to go out and learn two entirely new languages just to read the Bible clearly. What I mean is that when you encounter a contradiction, find out what the original text means and learn that part of the language.
For example, take the word "love". That's lost some meaning in translation. Where as we have the same word "love" for "I truly love you" and "I love candy", the original language of the Bible does not. You have, for example, "agape", which is unconditional love, and various others. So that's how you get around the lost-in-translation problem.
See, and now you can go around telling people "I agape you!"