Weekend break in London with ASC 6-y-o: suggestions please!

We are going to London for 3 nights before Christmas.  Does anyone have suggestions for places to go/things to see?  We will DEFINITELY have to see the Christmas lights, as they're a bit of an obsession at the moment, but I was wondering about the Science Museum?  Natural History Museum?  London Eye?  

Any suggestions gratefully received.  We're on a bit of a budget, but this is in lieu of Christmas presents and we've got a very cheap deal on a central London hotel, so we're not as broke as usual! 

Thanks.

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