The house or apartment where you live is your place of residence. If you're house proud, it means you keep your residence nice and tidy.
The act of living in a place is also called residence. You might take up residence in an ancient oak tree when the city threatens to cut it down, for example. The official home of a person in a position of power — like a monarch or a president — is also called a residence. The official residence of the British Prime Minister is 10 Downing Street, and the residence of the President of the United States is 1600 Pennsylvania Avenue.