This was my day yesterday. DD is at a really really challenging age (3.5) and so is her brother (22mo).
I took them out in the car three times between 8 and 5 just to get peace. Even giving them a run in the playground was stress central as my DS lives running in front of moving swings.
This is how I survive with both (and a newborn) after DH goes out (so, 8am) - does it look helpful?
Run in the car (8-9)
Telly (9am)
General run around the garden/treasure hunt (hide clothes pegs a few places): 9:30
Playtime 10:30
I must confess I’m not good at playing. I’m tired and have fuck all imagination. But giving them a good 40 mins of my full attention and involvement usually pays dividends and makes for a less intense day over all... usually.
Lunch at 11:30
Nap 11-2
Playpark at about 2:30 with snack at the end
Hour long run in the car 3-4
Home and general running round/telly (4-5:30)
Tea time (5:30 - 6:00)
More run around OR telly (6-6:30)
Bath (6:30 - 7)
Story and pyjamas (7-7:15)
Lights out at 7:15
Sorry if I come across as patronising; I just feel your pain.
Plus 2.5 year olds are little nutters, my DD went feral bonkers for about a month at that age. She soon lost that wild edge but not the bonkers bit.