I don’t see Chelsea improving in the next season, to be honest. I would much further put my money on Liverpool. Because I believe if Liverpool can get a really good striker in the team, they will be able to fix most of their problems.
But we cannot say the same for Chelsea. Chelsea will have to make big changes in the team and also get a good manager. It’s really good manager can fix the problems that Chelsea has right now. But even then it will take a lot of time. Chelsea will have to spend a lot of money. I hope they are ready to do that in the next season.
Since there is no big change in Chelsea squad, I also doubt that Chelsea will have a better performance in the next season. Chelsea needs to rebuild their attacking line if they are serious to improve their performance. So far, Cheslea can't sign a top striker, they are only rumored to sign a top striker. The current strikers of Chelsea are not really productive, they rarely scored during the last season.
Liverpool seems a bit better, they still have a good squad although they failed to perform at their best in the last season. If Liverpool can sign a top striker in the current transfer window, they surely may have a chance to perform well in the next season. Well, they have enough wingers, but they only have Nunez in the CF position. So, I agree that they need a CF (striker) now.
According to his contract Pochettino will train Chelsea on July 1 so he can start to working at this team according to his contract agreement and now Pochettino still not officially Chelsea manager yet but i am sure he already know which players to buy and which players to sell and i think why still no big change for Chelsea until now because Pochettino is more cautiously to make a movement in the transfer market because he don't want to make a mistake just like Potters did who in rush to buy players and i am not a Chelsea fans but i am sure Chelsea will be better under him
And for Liverpool i couldn't find any news that Liverpool aiming new striker and probably Klopp current focus is to gets more midfielder players because some of players such as Naby Keita ,James Milner and Alex Oxlade-Chamberlain already leave but indeed they should be buy at least 1 striker as the replacement of Firmino although this is not too necessary because the player just like Diogo Jota can be played as centre striker and i have seen this several times last season and the result is very satisfied because at that position Jota can able to scores goals several times