Most children are probably better off having more time with their parents and less time in a government school. The simple reason is that each child gets more individual attention. A parent's ability to teach might cap out around middle or high school, but the educational quality for those early formative years is likely to be as good or better with homeschooling.
Having one parent at home full time, or working part-time, leaves that parent more time to manage the household, which introduces serious efficiencies and savings over time.