Each level, or "job," consists of two parts - figuring out how to break into an innocent person's house while they sleep, and then setting up a "gag" (like a booby trap) inside the house, so you can watch them humilate themselves later.
The puzzles are basically the same in each job: you have to find a series of items in a specific order to get the key to get in the house, and then once you're in, you have to collect more items to assemble the gag. That's pretty much it.
Three of your furry friends are there at each job to assist you, but you can safely ignore them except for the odd occasion when more than one switch needs to be activated simultaneously to open a door. If you really want to go for a good time in each level, you will have to toggle between characters a few times, but after completing a few jobs you probably won't be too motivated to go back and replay them for better times.