The police are not on your side, and they are not really interested in hearing “your side” of things. Rather, they want you to admit to a crime so they can more easily convict you. Don’t do their job for them! Never, ever, ever make ANY statements to law enforcement agents. These statements WILL be used against you.
Instead, invoke your right to an attorney and your right to remain silent. Very politely tell them that you do not want to say ANYTHING until after consulting with your lawyer. Then call my office.