I have learned that it's not in my best interest to believe anything that comes out of a cops mouth.

Ditto. Keep your mouth shut. They were called pigs for a reason; the more you talk the more you help them 'dig stuff up'.

"If tyranny ever comes to your door- it will come in uniform." J. McLamb

BTW
Brown vs Texas
You are under arrest as soon as your freedom of movement is 'arrested'."

So when they come to your door- apply all your rights.
Remain silent.

Say nothing other than "you will have to ask my counsel that question in the morning. May I have a number where he can contact you?"

Watch what happens then. But say nothing from that point on. Except for ask for asking for the officers for his contact info.
But nothing more than that.

__________________
Heaven is a prepared place for prepared people.