Yorkshire Terrier
One of the smallest dogs here, with a fine, glossy single coat that is closer in texture to human hair than to fur, so it sheds little. Show Yorkies grow floor-length coats, but a pet trim keeps upkeep to regular brushing and a groom every six weeks or so.
There is plenty of terrier in that tiny body: alert, bold and quick to bark at the door, which matters more in a shared building than the coat does.
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