* The most common expression is: 家に帰る (いえにかえる, ie ni kaeru).
* You can also use: 帰宅する (きたくする, kitaku suru), which is a more formal way of saying "go home".
* Finally, you can also just use: 帰る (かえる, kaeru) by itself, however, 帰る (かえる, kaeru) can also mean "to return" in a general sense, so it's not always clear that you mean "go home."
Examples
- 家に帰るぞ. (家に帰るぞ, ie ni kaeru zo). "Let's go home."
- 仕事から帰宅するのは遅かった. (仕事から帰宅するのは遅かった, shigoto kara kitaku suru no wa osokatta). "It was late when I got home from work."
- そろそろ帰るね. (そろそろ帰るね, sorosoro kaeru ne). "I'm going home now."