1.
coat; fur; the lie of an animal's hair
The hair covering an animal, seen as a surface with a texture, color, and direction. Used when praising or assessing how an animal's coat looks.
2.
pedigree; family background; breeding
A person's lineage or social background, judged as if it were an animal's coat. Almost always in 毛並みがいい, which can be admiring or faintly sarcastic depending on tone.