Some of this will depend on transfers and further managerial activity, but right now my gut feeling is...
1. Man City
2. Chelsea
3. Man Utd
4. Arsenal
5. Liverpool
6. Newcastle
7. Tottenham
8. Aston Villa
9. Fulham
10. Everton
11. Sunderland
12. Stoke City
13. QPR
14. Reading
15. Norwich
16. Wigan
17. Southampton
18. West Brom
19. Swansea
20. West Ham
I'm a lot more confident in my predictions for the top ten than I am for the bottom. Man City have more than enough in their squad to make it two in a row, and Liverpool will get off to a hot start with much media hullabaloo about Brendan Rodgers' total football that will just about carry them through the season into the top five. I like Newcastle and Alan Pardew, despite his disappointing reign as Charlton manager and they look to be making purposeful moves in the transfer market, so another top six for them. Tottenham will see one big star leave, the club will lose momentum and be destabilised as Harry Redknapp is linked to every managerial job in the world amid continuous rumours of his dissatisfaction at White Hart Lane.
At the bottom, I've got little clue, so I'm relying on Steve Clarke struggling at West Brom, Swansea suffering, as Hbob said, a combination of second season syndrome and Brendan Rodgers withdrawal symptoms, and West Ham because I immensely dislike Big Sam and desperately want them to go down with zero points and Allardyce will be so humiliated he'll go and manage in some tiny Eastern European country and never return again. Reading and Southampton have super-talented managers and hungry players, so should just about survive.