I think a split rail fence would look good if you don't have a need to keep dogs in the yard. Then you can plant in front of it or grow vines on it. You can go 3 or 4 rails high and it would be pleasing to look at, fit in with the neighborhood and provide privacy while not being a solid block of fencing. Planting shrubs and vines in various areas will help give you more privacy while giving it a more natural look.
