Munjarid comes from j-r-d (ج ر د), conveying removal or stripping away of excess. Applied to a horse it evokes a streamlined, capable build, not literally a hairless animal. Haykal emphasizes a large, powerful frame.
Awābid is the plural of ābidah, referring to wild and elusive animals. Qayd means a binding restraint. Combined as qayd al-awābid, the expression treats the horse as though its speed could restrain even remote, fleeing quarry.
The construction is an intensified metaphor. Reading it as an ordinary “rope for wild animals” misses the image's point: the exceptional ability to catch difficult prey.