You named your fake detective agency “Psych”? As in “got you”? Why didn’t you just call it “Hey, we’re fooling you and the police department; hope we don’t make a mistake and somebody dies because of it”.
First of all, Gus, that name is entirely too long; it would never fit on the window. And secondly, the best way you convince people you’re not lying to them is to tell them you are!