https://www.youtube.com/watch?v=6wXkI4t7nuc
This video has 24 minutes of a law school professor telling you to not talk to the police, followed by 24 minutes of a senior police investigator telling you to not talk to the police. It's well done and it convinced me that once I give the police my id and my name, the next and only thing that I should say (repeatedly) is "I want to talk to my lawyer before answering that question." That may lead to my arrest, but so be it.
One exception to my rule, if I get stopped on the highway and the officer asks me "Do you know how fast you were going?" my stock reply is "I believe I was driving at a safe speed for the conditions." The purpose of the officer's question is to get me to tell him, on the record, that I was speeding.. That confession would make my conviction a near certainty.