It's fine but I think you can say it in a better way. For example, there is an old song called "Papa Was A Rolling Stone" which says a similar thing. Its refrain goes: Papa was a rolling stone. Wherever he laid his head was his home. 아버지는 떠돌이였지. 어디든 머리 뉘인 곳이 바로 집이었지. Likewise you could say, 어디든 내 머리 뉘이는 곳이 내 집이다 (Wherever I lay my head is my home). It sounds a little more interesting to me.

Yes, that's right.