I understand your problem with noise. I've had many people suggest that I use headphones or play music but I find that equally distracting. I learned something recently that might add some understanding to your problem. It's called Highly Sensitive Person (HSP), you can read about it at wikipedia:
If moving to a place without shared walls is not an option, you might want to shift your schedule a bit. Continue to work while they are not home and also work after they've gone to bed. Then it's very quiet.
http://en.wikipedia.org/wiki/Highly_sensitive_persons
If moving to a place without shared walls is not an option, you might want to shift your schedule a bit. Continue to work while they are not home and also work after they've gone to bed. Then it's very quiet.