On your list of museum visits you have to have:-
Imperial War Museum - Duxford  (south of Cambridge) 
http://www.iwm.org.uk/duxford/index.htmRoyal Air Force Museum - Hendon  (North London) 
http://www.rafmuseum.org.uk/IndexHendon.cfmRoyal Air Force Museum - Cosford  (west side of Birmingham) 
http://cosford.rafmuseum.com/flash/Duxford has lots of really good aircraft, especially British & American aircraft.  They also have Ju52, CASA He111, 109E, Fi Storch, V1 etc.
Hendon again has a good mixture of British, American and a few rare German aircraft such as the He162, Fw190, 2 x Bf109s, Bf110, He111, Ju88, Ju87 etc.  Hendon also has a fantastic Short Sunderland display which you can walk all the way through.
Cosford has many experimental British jets & some good German & Japanese WW2 aircraft such as Me262, Me410, He111, Fiesler Storch, Ki100, Dinah.
As for Edinburgh, I used to go up there a lot.  If you can then fly up to Edinburgh (Turnhouse, former RAF airfield).  If you went by train it could take anything between 5 - 7 hours.... or even more if you're unlucky!