May or may not be relevant as I live in New Zealand...
In some respects, the cost of living in NZ is very high but I have found I have been able to get my children into excellent schools, give them wonderful holidays and lots of opportunities to try different activities even though I've raised them as a lone parent on a part-time income.
Daycare was a big cost until I became a lone parent and then the subsidies were a big help, fees reducing to about $30 a week. (from $250)
Broadly speaking, our primary schools are excellent so there's no need to go private. Some don't even require a uniform so the only costs are stationery (about $30 a yr) and camps. There is a donation request which can be as high as $1000 a year; I paid $200 a yr oer child throughout primary years.
After-school care was subsidised and I never paid more than $18 a week.
Secondary schooling has been more costly: uniforms ($1000 a piece), laptops, travel costs ($40/wk each) and school fees of around $4k/yr each. And much more hefty stationery requirements and fees for trips, thousands in the eldest one's case.
After school stuff is relatively inexpensive, probably $100 a week for both which has variously included
piano, violin, clarinet, guitar, drums, ballet, swimming, tennis, basketball, netball, soccer, softball, Scouts, Girl Guides, art, photography, animation, claymation, theatre, sewing and robotics.
Most expensive were the music lessons at $30 a lesson, the others were very inexpensive.
I could have done it more cheaply by sticking with state high schools and not allowing so many extracurricular but looking back I feel like I made good choices.
Dr fees for children are depending on where you live and personal circumstances; I've paid around $13 per child's visit from.age 6. Dentistry is free through to age 18 but I've forked out $12k in orthodontist fees for one child.
One child was identified as gifted and the schools provided them with lots of fantastic extension activities. The other child is neurodiverse and I paid specialists literally thousands of dollars for diagnoses, treatment and advice. Also tutoring. No help from the state school but vg support through the private school.