Indeed, make sure your name as used by the bank exactly matches the full name in your passport, because that's what Wechat/Alipay will require. A few banks may have systems that only accept names up to 20 characters/spaces and if that's not enough for your full name, head to another bank, because you'll have trouble registering on Wechat/Alipay with a truncated name.
I'm very surprised they didn't hand you the CRS form requiring disclosure of your UK tax id number.
Before leaving Qingdao, check everything, like the card itself and online banking, so you can resolve any problems with the bank. (There are various options that need to be set to allow online purchases, for example.) Hopefully you got whatever gizmo CMB requires for online banking/purchases. Run the mobile app as well.
The bank will have given you some papers. Keep these safely, since they show important information if you need help down the road.
(CMB, which is not considered a state-owned bank, does have a good reputation for customer service.)