but have a book here that has an entry on them. While you and your husband seem to know best about how to treat him and such, here's what's in the book "Encyclopedia of Spirits" by Judika Illes:
Domovoi
Origin: Russia
The Domovoi is a Russian house spirit. His primary function is to protect the family, property, and animals associated with the home where he resides. He protects the family living in his home and warns them of impending disaster. (If a family member is awakened in the middle of the night by a cold, hard, furry hand, disaster looms.) The Domovoi is sometimes a harbinger of death: if the Domovoi dons the clothing of the head of the household or is witnessed imitating this person, his or her death is imminent. The Domovoi is most frequently witnessed at night.
The Domovoi may be an ancestral spirit. Address him respectfully as "Sir," "Master," "Uncle," or "Grandpa." The Domovoi may live in the big traditional Russian stove or in liminal areas: the cellar, attic, or over the home's main entry threshold. It's traditional to leave offerings in areas of the home he's known to frequent.
The Domovoi may be attached to the house, but some Domovoi become quite attached to people. If you move, it's crucial to formally notify the Domovoi of the move and request that he accompany his family to their new home. The Domovoi should also be formally introduced to any new horses living with or belonging to the family. Request his care and protection for the horse. Otherwise, if this is not done, the Domovoi may play tricks: tangling the horse's mane, for instance, stealing the horse's food, or moving its tack and grooming supplies so that you must search for them. He can also ride a horse to exhaustion at night. Once upon a time, Russians purchased horses in the color that their Domovoi preferred. The Domovoi grooms his favorites, braiding their manes and tails.
Manifestations:
The Domovoi is usually heard, not seen. He likes to be invisible. His presence is revealed only by rustling noises. When visible, the Domovoi resembles a tiny old man with grey, tangled, locked hair and a bushy beard. He may be entirely covered in soft, downy fur, including his palms and soles. However, the Domovoi is a shape-shifter and may also manifest as a dog, cat, frog, rat, mouse, or other animal.
Animal: Horse
Offerings: Kasha, bread, old-fashioned bast sandals (hang them up in the yard; he'll find them)
See also: Kikimora (female house spirit; Slavic)
If you want me to transcribe the one on the Kikimora, I will, just give me a little more time 
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