Many good ideas expressed here on catching rodents after they get in.
Nothing has been mentioned about inspecting for possible damage being done. they will chew the insulation off of wiring, the canvas wrapping on the heater ducts is a favorite as well. They pack in trash like gum wrappers, popsicle sticks and any thing else like leaves, pine needles and fill every out of the way closed area they can find.
You mentioned shredded paper. That is a clue to really inspect hard to access interior areas for more of the same. As an example, the area under the shower pan is a favorite. Stripping the wiring can cause a fire when you least need it. Wear a dust mask at least when inspecting for other areas of intrusion. Hanta Virus could be present.