I was living in London during that period of attacks and, really, you have nothing to be afraid of. I changed nothing from my regular routine. The chances of being in an incident are the same as it is anywhere. At least there are no guns involved in the attacks. London on the whole is very safe, CCTV everywhere and police monitoring all the major areas. If you want to be at ease, try to be indoors or in parks as much as possible. The major landmarks, Big Ben, Tower, and Bridge can be done quickly for an obligatory picture.
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