Baby friendly reasonable hotel/BB/appratment in London

[suol]

Hi
I have a 2 months old baby and will need to go to London at the end of the month to visit family (who cannot put us up!).

Would really like somewhere were we can relax about having a baby that sometimes cries at night and that is not too expensive

Any reccomendations

Thanks suol

What part of London?

West London near shepherds bush/acton or even hide park

thanks

What is your budget?