London with 17 year old DD, tips and advice please.

[BlancmanegeBunny]

I've booked a three-night (Fri - Mon) trip to London for me and dd in July, she hasn't been there since she was about 10. We are staying in the Tower of London area and so far the only thing we have arranged is tickets to shows on the Friday and Saturday evenings.
Current ideas on things to do include;-
Changing of the Guard
Science Museum
Camden Lock Market
Also plan to walk around Picadilly, Leicester Square, Trafalgar Square etc

Any suggestions are welcome, DD isn't into mainstream shopping, she like Charity shops, so we will be giving the big stores a miss.

I would like tips on cheap and cheerful places to eat, noodles and falafel are her favorites, and neither of us is veggie. I lived in London in 80s / 90s and have fond memories of cheap and cheerful Chinese food at Wong Kei on Wardour Street, anyone know if it is still worth a visit?

FYI Spitalfields/brick lane/Shoreditch is basically the same area. And as PP has said, much cooler than Camden. And so much less busy. And much nearer to where you are staying. You will need the tube for Camden and it gets really busy at the weekend.

DD wants to see Leicester Square / Picadilly / Trafalgar Square so we will combine that with a pre-theatre trip to Chinatown. Not planning on spending too much time around there! I lived in West Hampstead for a few years in the late 1980s so I'm familiar with the West End.

Mr Falafel at the entrance of Shepherd's Bush Market does the best falafel. The market isn't great but it is suitable as a quick pit stop straight out of the underground and back in without risking getting lost.