Reigning Carabao Cup champions Liverpool will start their 2024-25 campaign at home to West Ham in the third round.
It is one of three all-Premier League ties in the first stage of the competition when the top flight's leading sides take part, alongside Southampton visiting Everton and Brighton hosting Wolves.
Elsewhere, League Two Barrow have a prime tie away at last year's finalists Chelsea as their reward for reaching the third round for the first time in 57 years after beating Derby on penalties.
This is one of two clashes between first and fourth-tier sides - AFC Wimbledon will be feeling confident as they host Newcastle after beating Ipswich on penalties in the second round.
United will play Barnsley, while Arsenal also host a League One side in Bolton.
There are just two all-EFL clashes in the third round - Stoke host Fleetwood, while League One stragglers Blackpool face Sheffield Wednesday.
Tottenham visit Coventry, Aston Villa head to Wycombe and Fulham face a long trek up north to Preston as their reward for beating Birmingham.
There are also two London derbies as Leyton Orient - who beat another team from the capital in Millwall to reach this stage - face Brentford and QPR welcome Crystal Palace.
Carabao Cup third round draw in full Liverpool v West Ham Manchester City v Watford Arsenal v Bolton Manchester United v Barnsley Wycombe v Aston Villa Coventry v Tottenham Walsall v Leicester Brentford v Leyton Orient Blackpool v Sheffield Wednesday Preston v Fulham Everton v Southampton QPR v Crystal Palace Stoke v Fleetwood Brighton v Wolves AFC Wimbledon v Newcastle Chelsea v Barrow All matches will take place midweek in the weeks of 16 and 23 September, with the fourth-round draw following after the completion of those matches.
As was the case last year, ties will go straight to penalties if the game is drawn after 90 minutes until the semi-final and final, while the semi-finals are still two-legged despite discussion of the format being slimmed down further.