I must be in quite a unique position as a person that worries that my dp might be doing too much!
He works f/t in a job that means he's standing and active most of the day, I work p/t with peaks and troughs, mostly around childcare.
My dp does most of the laundry, he does his own ironing for work clothes and the kids uniforms. I iron my own stuff when I need to and our dc's clothes for out of school or trips etc.
I keep on top of organisation, tidiness and cleaning, but if I don't manage the hoovering or d/washer, he will take the initiative and do it. He is not a great organiser and I don't have a problem with that, as I enjoy it and he appreciates it.
He disposes of all the recycling and empties the bins. We both organise the recycling as we go along -- we have somewhere to put it so it just needs taking out.
He packs his own lunch and the children's lunch in the morning. I have regularly offered to do it but he insists that he doesn't want me to.
I facilitate dc's h/work with them, organising costumes, presents for everyone.
I take care of all the household finances (insurance, mortgage, etc.), repairs, household purchases, etc.
I'm pretty good at diy myself and usually initiate that and ask for help if essential. I've sanded floors, painted rooms and plumbed in new sinks and toilets with out any help.
I'm the plumber and electrician in our house but he's more confident with drilling and electric saws -- he cut a cat flap out of a brick wall after I found a video showing how to do it. He's happy to diy if needed but I usually do the research on the best way to do it and I wouldn't ask if I thought he needed a rest!
I do most of the shopping and cooking but he has no problem doing it when I can't. When I worked f/t, he did most of the supermarket shopping as he left work before me. I do all the menu planning and cooking for entertaining too but he's usually on hand to help prep, chop and lay the table.
My dp is always so appreciative of what I do and I know he does as much as he can. I frequently find myself encouraging him to spend more time on himself as I get that more than he does when the dc are at school when work is in a trough period.
We try to treat one another fairly and review the tiredness factor as we go along.
I wonder if being considerate, appreciative and willing to chip in is more important than an audit of who does how much and how much time they have to do it?