If the police had questioned me as to my whereabouts at a particular time and place I would decline to answer, as that would indicate suspicion of wrongdoing. If I suspected I was under suspicion, I would request an attorney and remain silent. Requesting an attorney cuts off their questioning right then and there, Mirandized or not. If one was married, it would be wise to immediately advise their spouse and children to remain silent, it is amazing how statements can be "misunderstood" at a later time. Who is a favorite target of Investigators, the young and nieve, and wording of questions can sometimes elicit the desired answers that are not exactly correct! I also would not worry about anything I told the police as I wouldn't give them the time of day unless I was the one reporting a crime. I think you should reread what I posted as my cooperation would be limited. I will give you another hint, when the police ask you to come out of your house and talk to them, it is probably to arrest you, in your house, with a few exceptions including hot pursuit, they will need an arrest warrant..if they don't come in to get you, why make it easy on them...they probably won't go to the trouble to get a warrant if its a shaky or minor charge being used just to drag you in and question you...in the meantime you can scrounge bail money if they come back LOL.....
I was once pulled over for "going through a red light" in Buena Park, California. I had a friend driving two cars behind me. (The cop didn't know this.) I entered the intersection when it was yellow, not red. The cop was parked in a gas station, watching the intersection. His view of me was obstructed by a big truck (I think a 4-wheeler), so he couldn't actually see what color the light was when my car entered the intersection. I was in the first lane, the truck was in the second lane (lane closes to the curb). I fought the ticket. The cop lied under oath about which lane my car was in, he said I was in the second lane, the lane actually occupied by the truck. I had my friend come to fight the ticket. He saw when I entered the intersection it was yellow. But since the cop lied, I had my witness refute the cop's testimony about where my car was. The judge threw it out. And this was just over a moving violation. If a cop is going to lie about that kind of trivial incident......(and I do know of others), it makes me cautious is all I'm saying.