I stay for the weekend at Rosa's place, been in London only for work. It was more than I needed, so glad that I found her.
You make 40 minutes from the house to city center, the fastest route for me was: 5 min walk, take 453 bus to Trafalgar square, walk another 5 min until Leicester Square. I work nights also, arriving at the house at 3-4 am and didn't had any trouble. The neighborhood is quiet, bus station is near, have multiple options to get to city center.
I will definitely come back :)