Celestia.
Free download. Great program. It will run simulations for satellites and comets, planets, moons, etc., and you can navigate around, track them, etc. Stellarium is a planetarium/star chart program which is earth-based and also great, but does not show comets unless they are close. It doesn't show satellites at all. Stellarium is the better program for observation sessions, though.
If I were you, I would get both.
The best thing for identifying the more popular satellites is a web site called Heavens Above. You have to register, but it is free and worth the trouble. Be ready to input your exact coordinates and the satellite info you get will be very reliable.
http://www.shatters.net/celestia/
http://www.stellarium.org/
http://www.heavens-above.com/
If you're running these three on your computer, I think you'll be very well prepared for your club.
Edit: William mentioned that Heavens Above has a star chart. True, if all you need is a very basic whole-sky chart showing only the constellations and planets. If you can use more than one computer, this might be good to run on one while the others can be run on another computer. Remember, with Heavens Above, you have to be connected to the Internet.