My predictions for the season are like this:
Champions: City. KDB and Agüero will be back soon and they'll start putting it to everyone again. Gabriel Jesus has been shocking, but Sterling/Sane/Mahrez/Bernardo are contributing so much that it's not even a problem. Life is good.
Runner-up: Liverpool. They wont keep going at this rate. There have been so many games, where they should've lost points, but got away miraculously. It's what it takes to become a champion, but hey, it's Liverpool...
3rd place: Clutch FC. Sarri will have his impact sooner or later. Morata can bottle all he want, but Hazard will create enough probably. Giroud will also contribute with some good goals from the bench.
4th place: Spurs. They pretty much get the results similarly to Liverpool. They are maybe not dominating as much and not creating enough, but they get the goals needed.
5th place: Arsenal. Suspect at the back and Xhaka doing his usual stuff will cost them points at some point. They are converting at an insane rate(saw goals per chances chart somewhere) and getting stuff done, but this isn't sustainable.
6th place: United. Grinding out wins vs bottom of the table and parking vs top6 to get some draws should get them to 6th, but not higher.
Relegation:
Palace - Just a really bad team all around + Zaha. They show up vs some, but overall suck really bad and would be surprised if they stayed up.*
Huddersfield - Can't score for shit and haven't had much luck either so far. Been pretty decent last 3 games, but got 0 points from these. Worst home team of the league. Pretty much says it all. They'll go down.
Fulham - Think Ranieri can't save this ship. Worst defense of the league(2.5 goals against/game) so far and getting absolutely destroyed away from home.