Harris Teeter opened this new store in Clayton in 2013, and will open a new store in Cary at Village Square shopping center on Oct. 29. Construction is wrapping up at the newly redeveloped Village Square shopping center in Cary with the new Harris Teeter grocery store expected to open by Oct. 29. The Harris Teeter store will be relocating from a space near Cary Towne Center mall into a new 53,000-square-foot space at Village Square, says Henry Ward of York Properties in Raleigh. Village Square was previously known as the home to foreign film favorite Galaxy Cinema, but the theater had to be torn down to make way for the new grocery store building.