We are traveling to London in July with our 9 and 12 year old daughters. They have been to Europe, but it will be the children's first trip to London. We know we can't see everything, but we do want to see a lot. Does this seem like a doable itinerary? Would you recommend V&A or Churchill Museum (or neither)? Also, where would you recommend shopping with tweens for party dresses that are in the $100 range (something you cannot find in the USA).
1 Sat
-Arrive LHR 11:30a
-Drop Bags at hotel central London
-Westminster Abbey (3-5p)
-London Eye (6p)
2 Sun
-Shopping: (Fortnum and Mason, Harrods 10a-1p)
-Victoria and Albert Museum or Churchill War rooms (2-4p)
-Notting Hill (evening)
3 Mon
-Buckingham Palace (10a)
-Covent Gardens (11a-1p)
-National Gallery w/ high tea (1:30-4:30p)
-Portrait Gallery (5-6p)
-Soho w/ West End Play (evening)
4 Tue
-Sky Garden (10-11a)
-Shoreditch (12-3p)
-Hampstead (evening)
5 Wed
-Tower of London (9a-12p)
-Borough Market (12:30-1:30p)
-Tate Modern (2-4p)
-Play at Globe Theatre (7:30p)
6 Thu
-Windsor Castle (10a-2p)
-Depart LHR 5:30p