I would expect him to be an equal partner. Just as a sahm should not have to shoulder all the work a sahd should not either.
It's time to pull out a chore jar.
Sit down and use a few sheets of paper. Make lists of each time frame job. The ones that have to be done multiple times per day like cooking a meal..breakfast, lunch, and dinner...then the ones that have to be done daily like dishes, twice per week like taking out the trash or laundry or sweeping and mopping the floors, then the weekly things like sweeping the porch and cleaning the yard areas, mowing the lawn, there can also be twice per month lists and monthly ones too. I also have a twice yearly for things like take down the curtains and clean them, I change the direction of the ceiling fan for the seasons so that's a good time for me to wash the blades of the ceiling fan. Then there are the yearly chores like cleaning the gutters, stripping floors and waxing, anything that is one of those things that you don't do hardly at all.
You guys need to sit down at the table, both of you need to have a notebook so you can write down the chores you draw from the jar.
If you get a job that you physically cannot do or that you absolutely hate then you might want to have a plan beforehand so you don't get in an argument.
You take a turn out of each jar, he takes a turn out of each jar. Then I think the person who stays at home takes one extra. They are committed to being at home and part of that is supporting the family with their actions. He just has to suck it up or use part of his income to pay someone to come help him out.
You each draw and draw and draw until all the jobs are assigned. Then you pull out a calendar and decide what days of the week you'll be doing your chores. Such as laundry on Monday and Thursday, then sweeping and mopping on Sunday and Wednesday. Then you can split up the evening meals if you'd like. You can cook a big dinner on Saturday and have planned overs on Sunday for lunch or dinner.
Like making a huge pot of spaghetti sauce or making a large pan of lasagna. There are many dishes that you can do planned overs with. I make pork pot roast and then use any leftover meat for pulled pork sandwiches the next day for lunch. I use Head Country Smoke flavored BBQ sauce. It's so stinkin' yummy!
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Putting as many jobs individually in the jars does several things. It shows hubby how many jobs he's not helping with. He will see the overwhelming lists and might start to understand what he's not doing.
Hopefully you can come to a compromise that suits both of you. He will start participating and help more and you'll be able to come home from work and have some relaxation time.
When I worked as a nanny the dad got home about 3:30. I was paid extra to cook dinner so by the time he got home all the school kids were home and sitting down for snacks. The older kids were very able to watch the younger kids so I wasn't really needed.
He would get the kids cleaning their rooms, doing their assigned chores, and check on laundry, I was paid extra for keeping the laundry too, he would start matching socks and folding clothes all the while keeping all the kids on track.
I would focus totally on cooking dinner. By the time mom got home at 5:30 dinner was ready to go on the table, all the chores were done, the house was clean, and the laundry was washing and drying. She didn't have to do much of anything. Dad didn't either. The kids ranged in age from 18 months old up to 14 years old when I started so they were well taught in how to do their chores. The mom had a very good system she made up for them to do a certain room, have helpers, and teach the younger kids how to do the jobs the right way.
I think that understanding what you are facing when you come home is hard for dad, he's most likely a visual person so seeing the jars and seeing the lists as they get made will help him to understand what you are going through.