Under current law in England and Wales you can have a civil ceremony at any Registration Office or Approved Premise provided the legal requirements are met, and you don't even have to live in the area where you want to marry.
Cambridgeshire Registration Offices and the wide variety of Approved Premises licensed as Venues in Cambridgeshire, should ensure that there is something which appeals for the type of wedding you have in mind, and at a price you can afford.
The law does not allow for a civil marriage to take place in a private house, in open air, a tent or marquee, or in any other movable structure, such as a boat or hot air balloon. Neither can a civil marriage take place in any building which has a past or current connection with any religion.
Recent publicity has highlighted that there will be a more flexible approach to marriage locations and times in the future. Unfortunately this can only happen after the law is changed, and that is probably several years away. In the meantime the above restrictions apply