FYI, the popular website WalkScore.com allows you to type in two addresses (under "Your Commute") and it will not only tell you the distance it will tell you the terrain - hilly, flat, etc! Here's the link (assuming it works) describing the commute between 3883 Ct. Ave and the Cleveland Park metro station - http://www.walkscore.com/commute/3883-connecticut-ave-nw-washington-dc-20008/to=Connecticut-and-Ordway-Streets-NW-Washington-DC... more
Veazey Terrace is very close and an easy walk to the Van Ness Metro Station. I live nearby and would be happy to show this place to you. For more information please contact me at email@example.com or 202-494-0714.