With either the 1946 or 1960 version, kill the Kampfhund before it is alerted by a knife throw or silenced pistol shot. Getting two direct hits with the Rocket Launcher will also take one down. A few shots fired using the LaserKraftwerk's Targeting Scope at close range also will kill them. Under the Uber difficulty setting, try firing constant shots from the AR Marksman's automatic plasma rifle. To take them out at long range, use the Marksman Rifle or Laser. A few Tesla grenades and the Assault Rifle will work well at medium range. You should have a large amount of health and armor if attempting close combat. Use your shotgun when facing them at close range, but be careful as they will do lots of damage.