When I was married, I stayed home with the girls. Since he worked outside the house, we decided he would take care of outside things, mainly. He did a lot of the shopping, took care of the grass, cars, and snow removal when we lived in Indiana. I took care of the housekeeping, laundry and cooking, and I was mainly responsible for educating, as well as, the general care of the girls. It worked for us, mainly since he didn't think I cut the grass in straight lines, and I didn't like the way he folded clothes, especially towels (haha) .
One tip, though, I learned the hard way, BOTH of you need to be involved in paying the bills, savings and preparing for retirement. I let him solely care for this, after a HUGE blowout we had about how I handled the bills, and when he passed I had a rude awakening. Make sure both of you know what's going on, are involved in the decisions, and know where all the accounts are, where the documentation is, and all the passwords and login info. Don't be like me and learn too late that it's all a house of cards.