Hi There,    we are currently going through the party wall process and with Southwark council and served the notices to them ourselves. Southwark have appointed an independent surveyor which is pretty standard and we are using them too.    Once you have served the notice they have two weeks to come back to say whether they agree or not, its after that when it can take time. But the experience we have had so far has been good and the independent surveyor sounds competent and efficient. We of course pay his fees but we are building the wall so thats only fair in my opinion.     there is a government guideline book that is very useful.    At Southwark contact details are:  FAO Patrick Skyers  Southwark Property  PO Box 64529  London  SE1 5LX      hope this helps! good luck!