Your rights are important to you, but they are also important to all Americans. That is why most criminal defense attorneys practice law. Their sole professional mission is to protect the rights that preserve your freedom.
Regardless of the charges you might face, whether they involve violent crimes, drug trafficking or embezzlement, police officers and investigators tend to the same interrogation tactics. There is very little variation in the intent, but these inquiries may take many forms: both direct and indirect. Your best hope to deal with all of them is probably to remain silent. Here are some examples.
Avoid trying to help
Investigators or police officers may not be telling you the truth when they offer you a deal. This is a common tactic, especially when it comes to white-collar or internet crimes. Their ulterior motive may be to compel you to you incriminate yourself. They may also have a discussion about certain facts in your presence, hoping you chime in and demonstrate knowledge that would implicate you.
Avoid falling suddenly silent
There is another reason why you may want to simply remain silent rather than answering any questions. A recent supreme court case may have an effect on the way you use your Fifth Amendment rights. Since it is such a complicated subject, it would usually be simpler to avoid making any statements than to potentially incriminate yourself. If you absolutely need to say something, then it would probably be wise to consult relevant case law regarding your right to remain silent before doing so.
You should probably exercise your rights starting from the first interaction you have with a police officer. Of course, there may be some limited identifying information that the law requires you to provide in certain situations. Otherwise, you would probably be well within your rights to simply reply to every statement or question by asking for an attorney.