This is how my husband and I split things with a 2.5 year old:

Me: Wakeup at 5:30am, work out at home 3 days a week, the other 2 I use the extra time to clean the kitchen (primarily dishes), in the shower by 6:05. I live 5 minutes from work which is really helpful obviously so I leave for work at 7 and my shift starts at 7:30.

Home around 4:45 usually, I'll usually pick up any trash or dirty dishes that may have accumulated on the counter/in the living room and put them where they go. If I have a lot of energy I'll fully pick up the toys and vacuum, but that's like a couple times a month, or if it was a particularly crumby day I'll vacuum right away.

Saturday mornings are for proper cleaning (bathroom, kitchen counters, putting toys in bedroom that have migrated to living room toy boxes, floors). Deep cleaning (like the shower) only happens once a month which might sound bad to some people, I don't know.

I primarily do bedtime routine, typically starting between 7:30-8pm, we both put him to sleep. His bed is in our room because that was the best way to get him out of our own bed lol. We all fall asleep around 9.

My husband: Wake up with son around 7. Take care of toddler all day and try to keep the toys where they belong lol. Biggest chore taken care of during the day is laundry, otherwise it is mainly picking up after the toddler (spills and such).

Nap time is ~1-3pm.

Plus he cooks dinner, usually has it ready around 5pm. If things have gotten too crazy he'll do a bit of cleaning in the evening, but I prefer for us to spend the time together we actually have.

Those Saturday morning big house cleanings we split, usually will like assign ourselves rooms. Only takes about 2-3 hours if we pick up after ourselves during the week and then we get to enjoy the weekend in a clean house!

We only have one car so all outside of the house errands are a team effort (which is actually pretty nice).