Although you could probably freehand this project with a few trial and error attempts, the Russian website leprosorium.ru has provided users with a Photoshop plugin that lets you plug in a saved image of your neighborhood and creates a template for you to cut out! If you don't have photoshop, there's a good chance you know someone who does, so start calling in those favors! The site is in Russian, but most browsers will translate it for you!
A less technical option for those who might be scared off by the steps above, would be to spray paint an old globe and draw your neighborhood onto it by hand. Sure your lines might be wiggly, but that's half the fun and your kids are bound to love it just as much.