yep, DH knows exactly how much I earn, I know more or less what he does (no secret, just can't remember exactly)
DH is an accountant, is quite happy to run the family finances as well as doing it at work, and I am happy to let him!
We used to do it whoever got home first when the bank statement came did the reconciliation (we used to write all payments in a notebook) but we moved to spreadsheet and online banking years ago which he manages much more quickly than me.
All joint accounts, all shared money, couldn't have it any other way, I earn such a pittance, and we jointly made the decision that I would work pt. As some other posters have said, we always run purchases past each other, not in a getting permission kind of way, but more discussing if we can afford/need it.
I did find it difficult when we were first married, as I was a student and DH was working, as I had been used to being totally responsible for my own money as a student. I felt guilty that I wasn't contributing anything into the pot financially, but needed a new outfit. DH was very clear it was our joint income, and I had to get used to spending it on me!