Chelsea, Manchester City, Tottenham and Liverpool all received home ties in the FA Cup fourth-round draw.
The Blues will welcome Plymouth Argyle to Stamford Bridge, while Liverpool host Cardiff City at Anfield.
City have drawn Championship promotion hopefuls Fulham.
Spurs will take on Brighton in north London, while Manchester United or Aston Villa will take on Middlesbrough.
FA Cup fourth-round draw:
Crystal Palace v Hartlepool United
Bournemouth v Boreham Wood
Huddersfield Town v Barnsley
Peterborough United v Queens Park Rangers
Cambridge United v Luton Town
Southampton v Coventry City
Chelsea v Plymouth Argyle
Everton v Brentford
Kidderminster Harriers v West Ham United
Manchester United/Aston Villa v Middlesbrough
Tottenham Hotspur v Brighton & Hove Albion
Liverpool v Cardiff City
Stoke City v Wigan Athletic
Nottingham Forest/Arsenal v Leicester City
Manchester City v Fulham
Wolverhampton Wanderers v Norwich City
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