Where does Naruto live in the village?

As the series progresses, he is a young ninja from the fictional village of Konohagakure (Hidden Leaf Village).

Where did Naruto live when he was a child?

There is no canonical answer for this. Naruto lived alone as a child. As for who took care of him while he was a baby, no one knows. The people that took care of him in his childhood were people like the Sandaime, Iruka, and the ramen guy.