On the other hand, if the police come to where you live and you let them in they can “search” (not necessarily formally or officially) and find something illegal you didn't know about.
On the other other hand, if we can help apprehend a criminal, most of us want to help, as long as we ourselves are not the “criminal” they want to apprehend.
Ain't nothin’ easy, and it seems like all the breaks go to the actual criminals and the legal bureaucracy.
I have comfortable chairs on my front porch. The only LEO’s who are permitted inside my home without a warrant are long time friends who are coming for lunch, dinner or the evening. In most cases, I and/or the Mrs have been inside their homes first.
What about asking the cops to discuss it at a local coffee shop or other such public place? I would think that would avoid the dangers in either (1) meeting in a place where they could intimidate you, or (2) risking them finding a way to search your house.