Oh, God, I'm doing one of these.

1. Chelsea
2. Arsenal
3. Man Utd
4. Man City
5. Liverpool
6. Southampton
7. Tottenham
8. Stoke
9. Swansea
10. Everton
11. West Brom
12. Leicester
13. West Ham
14. Newcastle
15. Aston Villa
16. Sunderland
17. Crystal Palace
18. Watford
19. Norwich
20. Bournemouth

Was particularly difficult to pick who stays up and who goes down. But yeah, all of this is based on nothing other than gut feeling.