Border/privacy trees/shrubs.

I have a small place. I think it's a 1/2 acre, the house was built in 1948, rectangular plot... I have fencing up, but it's not a privacy fence. I want to plant something that will grow into a privacy "fence" along the back of the property. Prefer something that is narrow, but won't grow too tall. I live in north of the river in Richmond, VA- if that helps with the area for growing. Thanks for any advice. :)
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