There’s not a huge difference between banks, so I recommend choosing the bank based on your convenience. Your best choice should be the bank that you are most familiar with and has several branches and ATMs in your city or neighborhood.
There are several banks in China, such as BOC (Bank of China), ICBC (Industrial and Commercial Bank of China, ABC (Agricultural Bank of China), China Construction Bank, China Merchant’s Bank, to name a few. But I am not here to recommend one bank over the other, so just go with the one most convenient for you.
Also, do not get discouraged when you are turned down by some bank or branch of the Chinese bank. Not every bank in China will allow a non-Chinese person to open an account, and the understanding of each personnel may be different for an account with credit/debit card. Be reminded that you only need a debit card for the account and try asking several branches/banks until you find one that will allow you to get one.
debit card = "储蓄卡" (chǔ xù kǎ) or "借记卡" (jiè jì kǎ)