General:
* My home
* Your home
* Our home
* Their home
* His home
* Her home
* Its home
* This home
* That home
* Another home
* Every home
* Each home
* Some home
* Any home
* No home
* Many homes
* Few homes
Descriptive:
* Cozy home
* Spacious home
* Modern home
* Charming home
* Beautiful home
* Humble home
* Grand home
* Simple home
* New home
* Old home
* Rental home
* Dream home
Location:
* Back home
* Down home
* Up home
* Across home
* Near home
* Far home
Movement:
* Go home
* Come home
* Return home
* Head home
* Stay home
Other:
* Sweet home
* Forever home
* Happy home
* Safe home
* Warm home
You can also combine these words for a more complex phrase:
* "My beautiful new home"
* "Their cozy little cottage"
* "Come back home soon"
The best words to use will depend on the context and what you are trying to convey.