My daughter's rat, Scully, often likes to rummage around on my desk. She drags various objects to her hidey place, including things she can't use but wants anyway.
Rats are great pets for kids. They're smart, clean and don't bite unless they're very unhappy--like other pets. Basically, they're like little dogs that need attention. Downside is they don't live very long. Scully lost her buddy Pookie a few months ago and she's bit more needy now.
There are many websites devoted to the care of rats. Be sure to check them out if you are interested in this sweet pet.