[Vocabulary] Stay (meaning to live somewhere) for some time

[englishhobby]

You don't need to stay with your distant relatives in Washington. Let me phone my friend and ask him to let you stay by him (or at his place? which is better?).

Is the above sentence correct and natural?

 

[bhaisahab]

You don't need to stay with your distant relatives in Washington. Let me phone my friend and ask him to let you stay by him (or at his place? which is better?).

Is the above sentence correct and natural?

"stay with him" or "at his place"