In addition to codinghands’s answer, for point 3, my experience in Guangdong suggest the outlets are usually universal. Anyway, a travel adapter should solve the outlet problem for you.
As a side note, console games have been banned in China since the 2000s until 2013. People in China had managed to play on imported consoles with appropriate PSU and adapter sold in some local stores without a problem in that decade. You should not have much difficulties using your Xbox as well.
I had a similar but not identical issue with a French Wii U in Japan – it also uses an external, non-switching supply, but as France is 220V and Japan is 100V I needed a step up transformer. To take your questions:
That all said, I guess you could buy an Xbox 360 220-240V / 50Hz PSU and just use that – maybe from Hong Kong? Or the UK?
Note that Xbox Live is a bit of a pain when going abroad. You’ll likely need to change your account region.
Credit:stackoverflow.com‘
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