I often use China Merchants Bank's VISA credit card now, because I often shop abroad, hehe.
Almost all credit cards can be swiped 5-6 times a year without annual fee. Of course, there is no limit to the amount. Anyway, the credit cards of the four major banks are definitely not as big as those of other banks.
Specifically, you can ask at any outlet. Of course, you can also find it online.