|My side yard is very narrow, and I need something to block the view my neighbors|
That would be fine. So would various types of junipers. Blue Arrow and Skyrocket juniper are good examples. Wichita, Hillspire, and Idyllwild are a little wider at about 6-7 feet wide. Check the nursery tags for their mature height and width. 'Bright N Tight' Carolina Cherry Laurel is another good option which could be kept narrower by shearing.
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