We tend to play on our strengths and although the load is unequal (I am sahm) I am happy.
Everything is on direct debit and any bills that come in like car tax, insurance, he does on the computer as he is IT consultant so tends to be much quicker at that type of thing than me.
I do all domestic stuff like tidying, hoovering, laundry etc but we have a board in the kitchen so as we use the last of something or something is getting low we write it on the board. We have groceries delivered and a menu list for the week (as ds1 has school dinners and a menu for that I work around that too) so there is no "what's for dinner" question.
This magic board also has a list of things to do like book dentist appointment etc but if someone specific needs to take responsibility to do it we write our name next to it. As it is in the kitchen we see it daily and it is next to the calendar so we can see what we have coming up that week.
I do the remembering for birthdays and shop about a month in advance for cards/presents, I have a card box and stick post it notes on the card so we know who it is for as we have general cards as well so no diving out to the shops for a sympathy/new home/congratulations card.
Dh unpacks the dishwasher in the morning, I get the boys washed and dressed, and I pack the dishwasher throughout the day as I have ds2 at home with me.
I do all the clothes shopping for our boys, and notice when they need new shoes
I have learnt to accept that some things just aren't as important to a man as to me, so I clean the oven when needed, kitchen floor etc but when all is said and done, my dh is wonderful, earns good money so I can stay home, gets up in the night for our boys if needed, appreciates what I do and loves me dearly. So I keep my mouth shut about the trivial things that bother me, I probably annoy him with stuff too, in fact I know I do.
I think the trick is to approach it with a "how can we sort this out" attitude, it is how we did it after our ds2 was born and I went from being able to do loads and dinner on the table as he walked in the door to looking after 2 children at home and a house in chaos