I agree with pinfrocks on this but I have also been there - I've been in the situation of doing everything and being resentful and exhausted, then periodically blowing up, only for nothing to happen. It was like that because DP knew that whatever I said, I would pick up the slack. He now knows I won't. Easier said than done of course, but it can be done.
I totally see how you can drift into this and only really face up to it when you have DC - that's what happened to me. It's not that I didn't know what my DP was like, it's just that it was easier to leave him to his own mess as I only had myself to look after. The kids, the larger home, the increase in admin - this is what you end up taking on simply because it has to be done and the other person ignores it.
OP I'm actually going to post you my list as I typed it. It's long, but even then there will be various things I've probably forgotten. It's up to you how much detail - here, things like buying hoover bags is covered in "household items shopping". The point is to get him to see what you actually have to do that he is currently thinking of as not that big a deal. Ask him how he would feel if this was what he had to keep on top of - all the time, non-stop, year after year, alongside getting his actual paid work done. Because, to an equal degree with you, he does have to. From now on.
food shopping list
food and household items shopping
Putting away shopping
Meal planning
Organising/paying for/keeping track of veg box and milk deliveries
meal preparation
Making bread
Making packed lunches and stocking school bag
purchasing children’s clothing and other things they need eg stationery
Organising clothing for the next season
laundry including clothes, bedding, soft furnishings
Taking down, washing or replacing, and putting back up shower curtain
repairing clothing and sewing on buttons
Name tapes or otherwise putting names in clothing
Ironing
Stripping and making up beds
Clearing up after meals
Dishes
Cleaning and clearing surfaces in kitchen
Cleaning and disinfecting sinks and draining board
Cleaning dirt off fronts of cupboards and appliances
Cleaning cooker
Hoovering kitchen floor
Hoovering other rooms
Dusting
Mopping kitchen floor
General tidying rooms
Decluttering, sorting out clutter, re storing some and sending some to rubbish
Taking cups, crockery, bottles back to kitchen from other rooms
Cleaning windows and mirrors
Watering plants
Cleaning bathroom, bath, sink and toilet
Spring cleans/clear outs
Cleaning out /reorganising /defrosting fridge and freezer
Clearing out cupboards/tidying/throwing out old stuff
Collecting and taking stuff for charity
tidying garden
Decluttering and reorganising shed
Putting washing line up and down
Replacing bathmat and putting old one in wash
Hanging up towels so they get dry
Clearing out old shampoo etc bottles
Gardening with kids
Putting out recycling
Putting out bins
Emptying main kitchen bin
Emptying compost bin, cleaning out and drying
Emptying bins around house
Checking, emptying and cleaning out and drying bread bin
Putting bins out on street
Setting thermostat
Maintaining and fixing smoke and co2 alarms
Minor home repairs and fixes
decorating (painting, wallpapering etc.)
Clearing and preparing rooms for decorating and putting back after
Buying and making new furniture
Getting rid of old furniture
Preparing and putting up pictures
Organising and booking tradespeople
waiting for tradespeople (electrician, plumber, decorator, gardeners etc.) to show up
Dealing with them /rebooking if they don't show up
Maintaining/balancing/monitoring budget
Paying bills and one-off payments
Setting up/monitoring direct debits, savings and overdrafts
Car insurance
Home insurance
Dealing with household mail from banks, insurers, charities etc
Organising children's money / child trust funds
Filing and keeping track of household paperwork
Other small admin inc electoral roll forms, council tax, tv license etc etc
Major admin eg all admin/phone calls for moving house/arranging mortgage
Fixing/buying and setting up tv, computers and electronic things
setting up cables and electric extensions
Changing light bulbs
Replacing batteries in kids toys etc
Organising car maintenance and taking car
Dealing with ownership details when changing car
Organising babysitter when you want to go out
Preparing house, snacks, list etc for babysitter
Remembering to have money ready for babysitter
Organising Kids medical/eye/vacc/dental etc. appointments
keeping track of when appointments are needed
Taking the children to the doctor, dentist, etc.
Putting the children to bed
Getting children dressed in the morning
overseeing children’s chores
helping with homework
buying the children’s birthday presents
planning children’s parties and events, doing and organising invites
Dealing with invites to children's friends parties
helping children buy presents for their friends
driving children to/attending childrens parties
Taking children to lessons, friends’ houses, etc.
overseeing the children’s hygiene
finding and organising appropriate childcare - nursery and club
Maintaining relationships with childcare providers
Talking to / keeping in touch with teachers
Dealing with communications from school/nursery
Filling in school/nursery forms and returning paperwork
Dealing with orders for cards/photos for school/nursery
Booking tickets for school/nursery events
Organising / making / taking contributions for school/nursery events
Making /obtaining costumes for school/nursery events
Sending kids school/nursery photos to relatives
keeping track of extended family birthdays
buying /sending gifts for extended family members
knowing something about the families of children’s friends
arranging family / couple social events
Booking holidays and weekends away - campsites, hotels, shows, days out
Researching different options to check availability and suitability
Keeping track of bookings, tickets, location maps etc.
Writing and posting Christmas cards
Helping kids to organise/write Xmas cards to friends if they want to
Buying kids and family Christmas presents
Buying and keeping store of wrapping paper etc
Organising and helping kids to write thank you notes
Getting out and putting away Xmas decorations and lights
Organising Halloween treats and decorations
Making / obtaining Halloween costumes