Delegation, delegation, delegation.
I had DCs aged 11, 9, 7, 4 when DD4 was born and they all advanced to 14, 11, 10, 7 as she grew from baby to three year old. ExH was worse than useless.
Oldest DD walked home from school with the others in fine weather. In bad weather I drove. I carpooled a lot with other parents, sharing the schlepping as much as possible.
I never did daily bathing, just topped and tailed as needed with a bath only in the afternoon if at all. The older ones (over 7) were expected to shower themselves and leave the bathroom fit to be used by the next customer, including rinsing the sink and mopping up drips off the floor. I expected them to leave clothes that needed a wash in the basket in the bathroom. They put away their own clothes after I washed, folded and sorted everything.
Everyone was expected to help preparing dinner and setting the table, or keeping 4 yo occupied and not under my feet while I did dinner. However, I used the slow cooker a lot and also made a good deal of casseroles or sauces ahead of time, with something always in the freezer, with only veg or spuds or pasta to cook fresh for dinner, or salad to toss. We ate at 6-7ish and they were supposed to get their homework out of the way without supervision or input from me as soon as they got home from school. They worked at the kitchen table or at the computer desk. Homework included putting away everything they needed for the next morning and getting their lunches ready. No separate dinner seatings for different age groups. Youngest (4 yo, and baby as she grew) got a big late lunch and a large snack in the afternoon. If the older ones were at a sport practice, drama club, etc, they could warm up leftovers when they got in.
In the evenings before bed we cleaned up after dinner and spent some time together chatting or watching tv together or playing some board game or other game on x-box, wii, etc..
I bfed the baby, didn't bother with trying to get her off to bed before I went, and co-slept so no settling necessary. Everyone else had a bedtime of 9 preceded by tooth brushing, hand and face washing, or a shower. I insisted on a daily shower for anyone over 8. None of them were ever particularly good sleepers but if they were in bed at 9 they were usually asleep soon after. At 9 I would read a story or two and say prayers with DCs aged 4 and 7 who shared a room, chat a bit and say prayers with DS (9) in his room, same with DD (11), with baby coming along with me. That was the extent of bedtime routine.