Substitute. That way you'll always be off work by the time your kids are out of school. Work in the school kitchen. Get a job as an aid in a school room with a disabled kiddo. Tutor through the school. Tutor any student who'll come to you. This way YOU arrange the schedule around your kids needs.
Take in ironing, take in laundry, do work processing for a nearby college but get the money first in case they forget they left a paper with you, get a couple of houses to clean or start an errand business, or some other thing that you can stand to do repetitively.
Find a Mother's Day Out. Apply for a job. They are usually open a MAXIMUM of 15 hours per week. That's what keeps them out from under the child care licensing laws. If you can make a few hundred per month by working part time then you've achieved more than some people can.
There are so many things a person can do if they're determined to make some money. I wore a respirator mask and ironed for about 8 customers. The spray starch effected my lungs and I was also allergic to the perfumes and fine particles. But I made enough money to file income on our taxes.
I learned how to set up and manage FB pages and do that for a few different businesses. I do some other online stuff to but it's for friends who have a church and they asked me to organize their site.
IF you sit down and think about it you can find ways to make some money that is part time.
Until you're ready to work full time then part time income will be limited unless you can find a venue that is hot and making money.
I have a friend who made several thousand dollars last winter buying up every single long sleeve sweater in every thrift store last fall. Then she spent a month/month and a half cutting the sleeves off and then serging pieces together to make boot cuffs.
Then she used remnants of the sweaters to make matching head bands/ear muffs. Matching sets. She made aprons for a year but now that market is not so hot.
By seeing what is hot and popular you can make a killing by hoping on that item and getting it out there.