I worked pt in the public sector before I had DD (I had my own business on the side which I dropped after going back from mat leave as doing both with DD was too much). I used to do 3 full days a week when she was at nursery but have switched to 22.5 hours across 4 days since DD started school, which works better.
I do a mix of WFH and office but my role (comms/social/marketing) is v flexible and can pretty much work as/when I want, as long as I'm around for meetings when needed. Not an issue to work with a poorly DD at home etc, and last minute holiday/leave is never a problem. I work in a small team so there's no opportunity for progression but I'm not massively passionate or ambitious about my work so it's not a problem. When DD is older I might retrain or move to a different org but this works for now.
DH works in v high pressure, long hours job but pretty much always WFH so he is around in the mornings to help with school run. He is senior enough that he can block out his calendar for sports day, nativity etc. I work one long day a week so DD goes to after school club that day and DH picks her up, then she plays/watches tv with a snack while he does emails or sits on a Teams call (DD is only 6 so we try and limit this as much as possible).
I try and put strict boundaries in between work and home. Sometimes I will have to jump on a Teams call or pick up emails after we get back from school pick up, and occasionally have to do a few more bits once DD is in bed. I try and avoid this as much as possible though - I could never do it regularly as part of my usual work schedule like I see some mums do on here. It reminds me of Covid lockdown and massively stresses me out.
Edited to add it all went to shit in the summer holidays as DD freaked out from having to go to so many different childcare providers while we still had to work (grandparents, friends, holiday club etc). I was seriously considering jacking my job in and retraining as a TA so it's not all plain sailing.....