Norwich is a lovely city. As far as the Broads go you can take a boat right from Norwich through the South Broads past Great Yarmouth (and a rather large stretch of open water) into the North Broads. They say Norwich has, or used to have, a church for every week of the year and a pub for every day. My wife is from Old Costessey which is a village now incorporated within the built up area. Her father was an archaeologist at Norwich Castle museum. She doesn't have the Laughing Postman (ie Norfolk dialect)type accent though.