1 articles and prepositions
No article is used in the expression at home (meaning ‘in one’s own place’).
Is anybody at home? (not … at the-home?)
At
is often dropped, especially in American English.
Is anybody home?
Home
(without to) can be used as an adverb referring to direction.
I think I’ll go home, (not … to home.)
There is no special preposition in English to express the idea of being at somebody’s home (like French chez, German bei, Danish/Swedish/Norwegian hos etc). One way of saying this is to use at with a possessive.
We had a great evening at Philip’s.
Ring up and see if Jacqueline is at the Smiths’, could you?
Possessive pronouns cannot be used in this way, though.
Come round to my place for a drink, (NOT … to mine …)
2 house and home
House is an emotionally neutral word: it just refers to a particular type of building. Home is used more personally: it is the place that somebody lives in, and can express the idea of emotional attachment to a place. Compare:
There are some horrible new houses in our village.
I lived there for six years, but I never really felt it was my home.
home
• see home
• and house see home.2
• expressions without article see articles 10: special rules and exceptions.1
For more information consult a good dictionary like Langman, Oxford, Merriam Webster, or Collins.