Yes, they're not just competing for the EPL title or qualifying for next season's Champions League. But they're also facing a tight transfer market. As for Manchester United, hmm, they should be able to improve, but they can't remain in a position that's close to relegation. However, a top-four finish seems difficult (not impossible, but very difficult).
By the way, the latest news from the EPL signings: Nottingham Forest has agreed to sign Bologna right winger Dan Ndoye. He's still quite young, but Bologna will receive €40 million plus add-ons, and the contract will be signed soon.
Source: 𝐇𝐄𝐑𝐄 𝐖𝐄 𝐆𝐎! Nottingham Forest agree deal for Dan Ndoye to join from Bologna
By the way, the latest news from the EPL signings: Nottingham Forest has agreed to sign Bologna right winger Dan Ndoye. He's still quite young, but Bologna will receive €40 million plus add-ons, and the contract will be signed soon.
Source: 𝐇𝐄𝐑𝐄 𝐖𝐄 𝐆𝐎! Nottingham Forest agree deal for Dan Ndoye to join from Bologna
Manchester United is still looking for a suitable striker to improve their performance next season, they do not want to rush the market and sign a player who will flop after only 5 to 6 games in the Premier League, instead, they are taking things slowly, so they do not make the same mistakes when they sign a worst striker as Hojlund. The strikers available on the market right now are quite expensive, and I'm not sure whether Manchester United would spend that kind of money to recruit a striker since other teams have not offered for their current players.
Manchester United seems to be interested in signing Benjamin Šeško from Leipzig. However, it is unclear if Manchester United would pay the high price Leipzig is asking, with the expensive price tag for Manchester United at the moment. Nottingham Forest, on the other hand, deserve to have a new striker since Taiwo Awoniyi is no longer performing at his best.