Formal:
* Je rentre chez moi. (This is the most common and formal way to say it.)
Informal:
* Je rentre. (This is a shorter, more informal version of "Je rentre chez moi".)
* J'arrive chez moi. (This literally means "I arrive at my home" and is a bit more specific.)
To emphasize the action of returning:
* Je retourne chez moi. (This means "I return home.")
In the future:
* Je vais rentrer chez moi. (This means "I am going to go home.")
Choose the best option based on the situation and the level of formality required.