Find-a-Saurus by Mark Sperring
Marty is mad about dinosaurs. His mother has explained why they no longer exist, but Marty thinks they're all just good at hiding- and he sets off to find one! Along the way, he finds all sorts of other weird and wonderful creatures - an alien under the table, a unicorn in the shed, even a giant - all desperate to be found, but Marty isn't interested - he only wants to find a dinosaur, however long it takes...