Marriage is sharing everything together so in finance you guys share everything as per your income and budget according to it. Usually women take care of the budget well and men also can be a participant in it. Nothing to worry about it, might be difficult to adjust at first but once you get along you will go together.
Marriage is the union of two different individuals and share everything particularly in finances as there's no secret to be kept individually when you're already in a serious marital relationship. Thus, sharing comes with different contributions so that marriage will work and becomes productive and profitable in the long run.
However, when it comes to financial set-up, its always the wife that is in-charge of it. And it would be better to have a joint bank account intended for future savings especially when there are already kids involved, you need to prepare for their bright future. And also a separate account for individual allowance so that one will not rely from the other, particularly if both have separate source of income.