1. City
2. Liverpool
3. Spurs
4. United
5. Arsenal
6. Chelsea
To be honest, United, Arsenal and Chelsea could be in any order at all, could just come down to who has the shitest season, and also the fact that Chelsea have CL football in the mix as well.
The reason why I've picked United for top 4 is because of Pogba, De Gea and Maguire. Chelsea's only standout player is Kante having lost Hazard. For Arsenal, they will probably rely heavy on Lacazette and Aubameyang. As for the three mentioned for United, they are players of a higher calibre than either Chelsea or Arsenal have in respective positions.
I would expect the quality they will bring throughout the season to give us an edge, but nowhere near enough to challenge the top 3. See Spurs having a strong season with the signings they have made.