Do you have access to the original Lidar? Your best bet would be to get the ground points from the Lidar and build either a TIN or Terrain using the Lidar ground points and the breaklines.
You can generate contours from your DEM using the Contour tool. If you want to incorporate breaklines, you will first have to convert to TIN. Then after adding breaklines, use Surface Contour. But you've lost a lot of accuracy from the original Lidar by starting from a 1m DEM, so unless the county won't share the Lidar I'd use that.