Don't Talk to the Police
YouTube - Don't Talk to the Police 1
Here's one of several links to Professor James Duane's now-famous presentation on the 5th amendment. The whole presentation is almost 30 mins long, so it's been broken down into 6 or 7 segments.
I highly encourage my CCW students to not only take the time to watch the entire presentation, but also to heed the advice this attorney (as well as the attorney for AZ who compiled the CCW material) offers.
Don't talk to the police.
In training, I use LEO training to support WHY this should be very much a part of one's plan. I use a LEO-involved shooting as an example. Unlike the police, you as a citizen will not have an entire agency coming to your rescue to ensure you DON'T talk to anyone before they collect all relevant evidence and statements. The agency KNOWS that immediately after a shooting your ability to clearly and accurately "replay" what really happened has been greatly compromised due to the adreneline dump and stress of a deadly force encounter. However, they will expect YOU - acting alone as a private citizen - to do so. You're likely going to be at the police station for hours either way, you may as well have a capable and competent pro-2A attorney en route. Professor Duane offers several examples and scenarios explaining over and over WHY it's a very good idea to NOT talk to the police first.
Simple example: "how many shots did you fire?" After an adreneline dump, you may or may not be able to answer this accurately. (Probably not, unless you're a SOCOM operative who is so used to being shot at that killing someone is just another day in the office... which would paint an ugly picture if this is YOU and you just shot a BG and then are very cool and collected.)
As soon as you begin to contradict yourself, OR as soon as witnesses begin to contradict your statement to the police, the investigation can take some seriously unexpected turns. Remember, like the 2nd amendment, the 5th amendment is a RIGHT to now screw yourself over by getting diarrhea of the mouth at the most inopportune time in your gun-carrying life. Just MHO.
Oh, and from experience - the "presumption of innocence," while nice and colorful in black and white law, is a wonderful thing - but I won't ever hang my hat on it. Black and white law doesn't stay that way when it's rolling around in a dirty, gray world.