On each item we are going to put a broadcast to tell the cat to go to it. This code needs to be on each of the items you have for your pet. Make sure you rename the broadcast so you know which item it represents.
ON YOUR PET you need to add code to make them interact with each object. You can play a sound, have them move, have them talk, etc. They need to do AT LEAST 2 THINGS at the object.