Charlie,
I haven't been there, but I dug up some good info on the following websites: (I hope it helps)
http://www.lonelyplanet.com/destinat...ions.htm#minsk
http://travel.state.gov/belarus.html
I would highly recommend a travel book. Amazon.com carries Lonely Planet books and I know there is one that covers Belarus.
Good luck and have a safe trip!
-levi aka eastwest