It's just me and two DC (I work FT and they're at school), and we have a small place, so we do have to be on top of things otherwise it looks bloody awful!
I have a family calendar, plus I enter stuff in to my iPhone calendar. I look at stuff as week ahead/month ahead and plan accordingly. This covers school term dates, school events, PE and swimming days etc.
For laundry: as soon as laundry bin is half full (or there's enough to put a load in!), I will do that. Stuff is dried and folded/hung as soon as it is dried.
Bedlinen: done weekly. I have a spare set for each bed. I draft DC in to help me do this (as it's one of my most hated jobs!!). Bed is stripped, clean set of bedding put on bed right away. Old bedding is laundered, then dried and put away. I fold a sheet and duvet cover together, then put these inside the matching pillow case. That means each bedding set is all together (therefore less faff).
Washing up: done after each meal. Either hand washed or put into dishwasher. Stuff dried and put away immediately.
Cooking: I menu plan where possible, and batch cook things once or twice a month. I use leftovers from suppers (assuming they don't contain nuts) for my work lunch or for the kids (they each have a food flask, so I heat up leftovers and pop in flask so they have a hot meal at school for their packed lunch). They have to rinse and wash their food flasks each evening, ready for next day.
Cats: automatic/self cleaning cat litter tray (emptied 1-2 times a week). Automatic feeder for their dry food. Cat fountain.
Cleaning: robot vac does ground floor every day. Stairs and 1st floor rooms vacuumed every day/every other day (I have four cats!). Floors are mopped last thing at night (they're all wooden floors or quarry tiles, so dirt really shows up). We use a squeegee to do tiles and mirrors after shower each day (the kids know they have to do this after they take showers too). Bath/shower is cleaned after each use (whoever takes a bath or shower has to clean it). Last thing at night, I give toilet and sink a quick clean. I use the Sweepy app, and Unfuck Your Habitat is also good.
General: I like to tidy as I go along, and any job that takes less than 5mins to do, I'll tend to get on and do immediately. Beds are made first thing. I tell the kids to do the same thing.
Food shop: I add things I need to a list as I go along. That may be on a supermarket app, but I'll then nip to a shop when I have the time and get only those things.
General admin: I check/read personal and work emails first thing and then again in the evening. I'll reply to them then and there. Bills are paid by DD or standing order. I have an alert on my phone to submit meter readings for gas and electric each month. If I need to respond to a letter, I'll write down (on the letter itself) the date I responded and by what method (phone/email/letter). Filing I do once a month (this should be weekly really!).
Kids: The kids know they have to help out around the house and pick up after themselves. They also know to do homework first, make sure their school bags are packed and uniforms hung out the night before, ready for next day. They have to clean/polish their shoes the night before too.
My place isn't like a show home by any stretch, but we muddle along nicely. The house is clean but needs a good declutter but that is an ongoing thing. I got rid of a load of stuff in Sept/Oct/Nov. I'll be doing another declutter of other things soon :D