Should I tell the Police I did it when I have been drinking alcohol or I know I might be DUI?

Never talk to the police without an attorney. You are guaranteed a Constitutional right to silence when asked questions by the police. USE THAT RIGHT! Asking for an attorney will force the police to stop any questioning, and even if they ask you something after you have asked for your attorney, that information will be suppressed and not available for the State to use against you at trial. This is especially important for DUI cases and Drug cases. Once you admit you had a few drinks, you can assume the police, and ultimately a jury, will hear this and assume a few means a lot. In many jurisdictions, everything you say is being recorded by the microphone on the police officers shirt and there is a camera on his dashboard videotaping you. Always assume you are on stage and act accordingly. Especially in drunk driving (DUI) cases.