It depends on which contradiction you're referring to. Sometimes, what appears to be contradictory information actually comes more from misinterpretation or misapplication. If you can tell me exactly which verses you feel contradict each other, I may be able to offer a better answer
On the gospels they are not contradictory, just 4 different peoples way of telling the same story. For example, Luke was a Dr. So he would talk about things from a medical standpoint, but be assured, they are not contradictions, because 2 Timothy 3:16 says: "All scripture is inspired of God...." so it is the way people interpret the scriptures as to why it SEEMS to be contradictory. :)
If you had four people standing on four different street corners at an intersection. Each person see a different perspective. This applies to the Gospels. Please give me some of the verses that you have concerns about. I very impressed you are looking into what you should believe.