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.
Elsewhere, Liverpool will host Newport County or Plymouth Argyle and Arsenal will travel to Preston North End as Tottenham host Aston Villa.
The ties will be played between January 6 and 9 in the New Year.
|THIRD ROUND DRAW IN FULL|
|Ipswich Town||vs||Lincoln City or Oldham Athletic|
|Hull City||vs||Swansea City|
|West Ham||vs||Manchester City|
|Brighton & Hove Albion||vs||MK Dons or Charlton|
|Birmingham City||vs||Newcastle United|
|Chelsea||vs||Peterborough or Notts County|
|West Brom||vs||Derby County|
|Liverpool||vs||Newport County or Plymouth|
|Wycombe Wanderers||vs||Stourbridge or Northampton|
|Preston North End||vs||Arsenal|
|Cambridge United||vs||Leeds United|
|Bristol City||vs||Fleetwood Town or Shrewsbury|
|Huddersfield Town||vs||Port Vale|
|Brentford||vs||Halifax or Eastleigh|
|Sutton United||vs||AFC Wimbledon|
|Accrington Stanley||vs||Luton Town|
|Rotherham United||vs||Oxford United or Macclesfield|