Manchester United will start their defence of the FA Cup with a home tie against Championship side Reading, who are managed by former player Jaap Stam.
United won a record-equalling 12th FA Cup with a 2-1 in over Crystal Palace in May in what was Louis van Gaal's final game as the club's manager.
Pep Guardiola's first taste of FA Cup action, meanwhile, will come when he takes his Manchester City side to West Ham in one of five all-Premier League ties.
Antonio Conte's Chelsea were handed a seemingly easier draw, with Peterborough United or Notts County waiting after a replay.