((رجعت لبيتى)) for example : انا رجعت لبيتى امبارح متأخر. this means : i returned to my home late Yesterday.

Both are correct. But I would use أنا روحت especially when I speak. (=ana raw-wa7t, not ro7t. Because they have different meaning) =I came back home (it's the same as "I returned to my home", isn't it?)

اهلا بلال. الافضل : رجعت بتي . والجملة دي بالمصرى. Hi, Bilal. the best answer for your Q is (رجعت البيت ) to sound more Egyptian.

You can say: رجعت البيت is more natural for example: انا رجعت البيت امبارح (I returned to my home yesterday)