Or really I could easily pull off London
London, is an amazing city, but its really far from Manchester. I'm assuming you'd go by train? Absolutely don't drive.
Norwich plays at Man U on the second. If you go to London Chelsea are hosting Burnley. To me those two matches are the same, probably not worth going to London just for that. The Spurs Arsenal match is at the Spurs new stadium, the tickets for that will be tougher to get and a lot more expensive than the others but will have the best atmosphere. The secondary market is much harder there, they do have cops that patrol outside of stadiums to combat that but they do have uk stubhub. A lot of the fun of going to an English soccer match is seeing the fans interact with each other.
Honestly, I think your best option would be Aston Villa hosting Man City on the 12th Aston Villa is halfway between Manchester and London, that match will be really fun and less corporate feeling than the other matches discussed.