Smaller banks (e.g Huaxia) tend to entail less bureaucracy than big banks (e.g. BOC), BUT some of them don't work with WeChat/Alipay unless you have a PRC ID.

Before applying for any bank account (big or small bank), be sure come prepared with:
-passport
-visa/RP/WP
-phone number
-temporary residence permit (if you're staying at a hotel, they can print this out; otherwise, the local police station can if you show them a rental agreement)
-cash for initial deposit (Y1000 is probably enough unless you are aiming for a fancy account)
-ask the bank people to help you set up WeChat Pay and Alipay before you leave (make sure you're already registered to speed up the process)

Am I missing anything?