Top flight leaders Arsenal, meanwhile, will travel to Oxford United of League One, whilst Newcastle have a trip to Sheffield Wednesday, also of the third tier.
And Antonio Conte's Tottenham host 2008 FA Cup winners Portsmouth at the Tottenham Hotspur Stadium.
Non-league representation is also in round three. Chesterfield host West Brom, Boreham Wood take on Accrington Stanley, and Wrexham travel to Coventry.
Dagenham & Redbridge, meanwhile, will host Premier LeagueLeicester if they beat League Two Gillingham in a second round replay.
See below for a full recap on the draw.
KEY Points
Welcome to our 2022/23 FA Cup third round draw live blog
Coventry vs Wrexham
Sheffield Wednesday v Newcastle
Oxford United vs Arsenal
Draw complete
FA Cup third round draw ball numbers
Manchester United vs Everton
Liverpool vs Wolves
Dagenham & Redbridge/Gillingham vs Leicester
Thanks for joining us
Thanks for joining us tonight for the FA Cup third round draw!
We'll have plenty of reaction to some of the huge games coming up over the next few days - including tough all-Premier League ties for Liverpool, Manchester United, Manchester City and Chelsea.
Good night.
breaking news
Here is the full draw:
Preston North End vs Huddersfield Town
Middlesbrough vs Brighton & Hove Albion
Chesterfield vs West Bromwich Albion
Manchester City vs Chelsea
Charlton Athletic or Stockport County vs Walsall
Boreham Wood vs Accrington Stanley
Tottenham Hotspur vs Portsmouth
Derby County vs Barnsley
Cardiff City vs Leeds United
Brentford vs West Ham United
Bournemouth vs Burnley
Coventry City vs Wrexham
Norwich City vs Blackburn Rovers
Aston Villa vs Stevenage
Luton Town vs Wigan Athletic
Oxford United vs Arsenal
Fleetwood Town vs Queens Park Rangers
Liverpool vs Wolverhampton Wanderers
Grimsby Town vs Burton Albion
Blackpool vs Nottingham Forest
Dagenham & Redbridge or Gillingham vs Leicester City
Forest Green Rovers vs Birmingham City
Bristol City vs Swansea City
Hartlepool United vs Stoke City
Hull City vs Fulham
Crystal Palace vs Southampton
Millwall vs Sheffield United
Shrewsbury Town vs Sunderland
Sheffield Wednesday vs Newcastle United
Manchester United vs Everton
Reading vs Watford
Ipswich Town vs Rotherham United
Chesterfield star Jeff King is now reacting to his side's clash against West Brom, and says: "At home, in front of our fanbase, the players we've got in our team, I think we've got to give ourselves the best opportunity. We'll be going into the game wanting to win, and hopefully get into the fourth round."
Paul Cook's side reached this stage last season, losing 5-1 to Chelsea at Stamford Bridge.
It's not been lost that Boreham Wood boss Luke Garrard and Accrington manager John Coleman are in the studio, with the two teams having drawn each other. Plenty of laughs about it, though.
That is that, then, for the 2022/23 FA Cup third round draw. Some mouth-watering ties set to take place on the weekend of Friday, January 6 - Monday, January 9, with Manchester City vs Chelsea the standout.
We'll have reaction shortly.
Ipswich Town vs Rotherham United
Reading vs Watford
Manchester United vs Everton
Much like their city rivals, United have Premier League opposition. Everton make the trip to Old Trafford.
Sheffield Wednesday vs Newcastle United
Third in League One takes on third in the Premier League, as it stands.
Shrewsbury Town vs Sunderland
Millwall vs Sheffield United
Crystal Palace vs Southampton
Another all-Premier League tie.
Hull City vs Fulham
Fulham boss Marco Silva has a trip to his former club.
Hartlepool United vs Stoke City
Bristol City vs Swansea City
Forest Green Rovers vs Birmingham City
Dagenham & Redbridge or Gillingham vs Leicester City
A potential National League vs Premier League matchup.