Back when I was spending a lot of time in Burbank, there were a number of shops near the studios that sold movie/TV memorabilia and props. There was also clothing/costumes from various films/series. A call to the Burbank Chamber of Commerce should be able to steer you in the right direction.
My best friend had a roommate whose uncle was a bigtime propmaster in LA. He had worked on "Ben" and had dozens of fake, but very authentic looking, rats. He sent several of them to his nephew, including Ben's primary stand-in "stunt rat" and a couple that were purposely made to look as if they had been injuried/wounded.
We had a blast with those things, they certainly got people's attention. My (then) four year old niece absolutely adored the rat I was loaned, despite the fact he had been made to look like he came off second best in a battle to the death. She even insisted on sleeping with it. He sat in my office for a couple years, dressed in a tiny Nomex flight suit and helmet.