Okay here is one reason to move to London: The British Library
Wow. You could read your little girl the story of Alice in Wonderland and then you could take her to the library to see the original manuscript, a copy Lewis Carrol did by hand with illustrations for the real Alice, the first publication, and other Alice in Wonderland books throughout time ending with the real costume sketches done for the newest movie that just came out.
Or if you heard a Beatles song on the way over to the library you could show her some original hand written lyrics they have.
Here is a just a few things I squealed over:
Jane Austen's writing desk
pages out of Jane Austen's writing notebook
original manuscript of Jane Eyre
original manuscript of Tess of the D'urbervilles (did you know it was first called The Daughter of the D'urbervilles or something like that)
Hand written Insomnia poem by Slyvia Plath
Hand written Birthday Letters poem by Ted Hughes
Original manuscript of Handel's Messiah
Original manuscript of Mendeleson's Wedding March
The Magna Carta
Original manuscript from Darwin's Origin of Species
I wonder how much a library card costs.