As a busy parent, sometimes you have to ask for help. When you're organizing the family calendar, look at who's responsible for accomplishing what. Is someone doing all of the transporting, while another has ample free time? Does one person have a large project coming up and might not be able to complete routine household duties?
Evaluate your resources and strategize ways to utilize them. If your neighbor's son is on the same soccer team as yours, maybe you could trade out carpooling days. If grandparents live in the area and want to spend more time with their grandchildren, perhaps they could hang out with the kids after school once a week. It's also smart to have a friend on stand-by in case of emergencies.