Chris Hughton will be looking to build on a positive debut campaign as City boss with a winning start but will be aware of the Roberto Martinez factor for Everton.
They follow up their trip to Merseyside with a trip to top-flight new boys Hull City, before finishing the opening month of the new season with a home game against Southampton.
Norwich host Fulham on Boxing Day and then welcome Manchester United on December 28.
A trip to the capital to face Crystal Palace brings in 2014, while the final day of the season sees Hughton's side travel to Arsenal.
Hughton will hope his side are not involved in a relegation scrap as their final four fixtures pit them against Liverpool, Manchester United, Chelsea and finally, Arsenal.