I have 3 DC (10,6 & 3) and work 4 days a week, DH works full time and has a long commute so I do 90% of life admin.
I photograph all the paperwork that comes home from school/ nursery and then chuck the original straight away.
Add any dates to my iPhone calendar with reminders set and invite DH if he needs to be home/do pick up etc
I use the To Do app and have a number of lists on the go, some shared with DH (like groceries/toiletries) so we can both add to them when we run out of stuff and I know what I need to order. I have one for each kids birthday to make a note of presents etc, one for random stuff I need to do, one for house stuff (like things that need to be repaired, bought, thrown away). You can add dates and reminders it's really helpful.
Kids sports/swimming stuff gets washed and put straight back in the sports/swimming bag ready for the next week rather than in the wardrobe so we're not rushing around to find stuff right before we need to leave.
I keep some wrapping paper and gift bags, general birthday cards in a box with a pen, scissors and sellotape.
Dishwasher on every night, unload in the morning before we go out. Washing machine goes on a timer in the evening, I unload when I get back from school run before my first work call and put it in the dryer. Remove and fold when I get back home in afternoon. Kids have to help put their clothes away.
I also get up half an hour earlier than everyone else in the morning, shower get dressed and have a cup of tea in peace. Sets me up for the day!