I Think I May be Accused of a Crime, Should I Tell the Police my Side of the Story?

Absolutely NOT. In fact, speaking to the police opens the door for police to misinterpret and twist your words against you. Police are actually trained to lie to you in order to get you to say things that make you look guilty. The fact that you remained silent cannot be used against you at trial. If you absolutely want to speak to police, do it through your attorney. 

-D.R. Wilson