I think the biggest fear for Liverpool this season is that Salah won't have such a good season and so the team won't score as many goals. That might be the case, particularly as I can see Salah getting an increasing amount of 'Ramos-like' treatment, although he could perhaps do even better given the stronger midfield supplying him. Liverpool should at least be better defensively with Alisson, Fabinho and van Dijk making up in coolness for Lovren. Keita looks an amazing player.
Arsenal might do better. They have a good squad and have made some decent signings. Would imagine they'd be pleased just to get back into the top four this season though.
Chelsea are hard to call. It could go either way with a new manager, although I agree that if Hazard and Courtois leave they'll be hard to replace.
It's difficult to see United being significantly different this season, which might mean they finish second again but it seems unlikely they'll suddenly start challenging City for the title without significant new personnel and a more adventurous playing style. The big worry for them will be whether we get a Mourinho meltdown season. It's getting to that stage.
City should obviously win the league again, although I'd be surprised if they do as well as last season. I'm wondering if teams will attack them more this season. Most teams were really passive against them last year, which seemed to play into their hands. Liverpool, United and even Wigan showed that their defence isn't that amazing if put under pressure. Their other worry will be an injury to De Bruyne.
I'm not sure what's happening with Spurs. They have as strong and coherent a first XI as anyone but lack a bit of squad depth to really challenge over a season. Not sure if they're going to make any major signings though (again).
I'm wondering if some of the big clubs are almost opting out of transfers this summer because of the short window and the crazy prizes (£50M for Richarlison!). Maybe they just think they have good enough squads at the moment and will wait for there to be more value in the market. Liverpool have probably had an advantage after getting big money for Coutinho, so they've been able to invest more in the squad.