Justin Holcomb has a good response here to skeptic Sam Harris and the Fast Company who have put together a spiffy-looking chart with alleged Bible contradictions.
I know what it’s like to be confused about, and bothered by, alleged contradictions in God’s Word. A good study Bible—e.g., the NIV Study Bible, now the ESV Study Bible—will intentionally address many of these issues.
I would also recommend having on your shelves a book like The Big Book of Bible Difficulties: Clear and Concise Answers from Genesis to Revelation, by Norman Geisler and Thomas Howe. It may not answer everything, and you may be more persuaded by some solutions than others, but I think it will prove to be a very helpful resource for many readers.