I'm pretty sure I read it in an anthology or in Analog magazine. The characters include a man who fixes holes in the universe, a talking toaster, and a few other 'misfits', and a woman who sort of keeps track of them all. There's a visit by a guy who I think has some mental powers of persuasion, and he ends up breaking the toaster (I think).
The main character is a young man with a psychic ability to control people, and he stumbles across the house of 'misfits' which include a child firestarter, an old man (Mr. Santiago?) who somehow is responsible for holding the universe together, and a shapeshifter named Toby who takes the form of whoever the person nearest to it loves the most. He stays there for a while and helps them out, but the woman who runs the place is disturbed when he uses his psychic abilities to convince a cashier he's paid for groceries.