I sympathise as I think teaching is a shit job, but your problem isn’t teaching-it sounds like where’s you live/the schools your children are at.
I could use before/after school clubs or childminders here for my kids or the older ones could be home alone until I get in. Do you live in a remote area? Childcare is going to be a problem no matter what job you do.
The main problem I find with working as a teacher, is if your kids are ill. We are not allowed time off for this unless it’s a serious situation which is approved by the governors-eg emergency appendicitis!
Virus, chickenpox vomiting etc-would be seriously disapproved of and if granted (and you wouldn’t be popular afterwards) would be unpaid. Things like snow days, Inset days, your own kids’ assemblies/parents appointments, hospitals appointments, sports day etc are a nightmare.
Luckily my DH can work from home and my parents live locally and are retired and never mind helping out; I couldn’t have done it without them.
Is moving to an area where there’s breakfast club an option-I can’t see how you’re going to work at all, in any job- if you have no childcare? If you can’t afford a childminder (and to be honest-I don’t think breakfast club/after school club is particularly cheap either) what is your plan?