If it's so tiny you barely notice when you're doing itself, is it really a slog? Your list is a weird mixture of jobs that take lots of time, and really unimportant minor things.
washing, cleaning, food shopping, cooking, wiping down surfaces, cleaning floors, picking up dirty cups, plumping up cushions, hanging up coats, tidying away shoes
Washing what? I do the laundry (because I WFH) and find it extremely easy. I do the washing up because DP does all the cooking.
Cleaning - I clean the kitchen (because DP does all the cooking), we take it in turns to do the bathroom, DP does occasional deep cleans because he's a lot more fastidious than I am.
Food shopping - depends on what we need, what we're cooking, what time we have. Often we'll divide and conquer - you can so rarely get everything you need at one shop these days so one of us goes to one, the other goes to another
Cooking - he does it all. 100%. I can't cook.
Wiping down surfaces - we're definitely repeating jobs just to extend the list here because this is "cleaning" to me
Picking up dirty cups is not a job. They find their way to the kitchen eventually. If I'm starting the dishwasher I might do a sweep of other rooms which takes under a minute. Other than that this does not occupy my mind.
Plumping up cushions - if I think about it, this probably falls to whoever's hoovering the living room (and thus sofas too). I don't consciously plump them so much as just hoover them? Anyway we divide hoovering equally and I've no idea what DP does vis-a-vis the cushions (nor do I care tbh).
Hanging up coats - everyone deals with their own coats. I don't care if they're hung up or not. A coat on a chair doesn't bother me. It's probably mine anyway.
Tidying away shoes - hahahahaha this is probably the habit of mine that annoys DP the most. I kick off my shoes when I get in and that's good enough for me. DP has this thing about shoes having to be put AWAY. I've upped my domestic game a lot in the past decade but this one is yet to take. You will notice that in this case, it is the man who notices and cares about this issue and not the woman.