There's a very interesting article in Wired about hobbiests tracking satellites using just a pair of binoculars. If you skip to the last page of the article (page 4), they give instructions how anyone can start tracking satellites for fun. The article can be found here.
The following site is a great resource if you are interested in a chance to see stuff in orbit: www.heavens-above.com You can choose the country you live in, then enter the name of your town and then select the satellites by brightness or other categories. Looks like if I get up at 5:00 am tomorrow I can see the International Space Station! How cool is that?