I'm sure Steve's right about the airport and shuttles Barry. Here's a Sands pic I took last Monday. If I pivot 180 degrees, the Eldo is about 100 feet away!
Sands to the Reno Arch is two blocks and you'll find Harrah's and Fitzgerald's there. The Clown and Silver Legacy are just north of the Eldorado. Cal-Neva and Siena are also in the downtown casino district and all easy walks. Peppermill, Atlantis, Grand Sierra and John Asquaga's Nugget in Sparks are all going to require transportation. Good Reno info here:
http://www.cheapotravel.com/reno/index.php