I homeschool my son (6), and have a 2YO daughter as well. I work full-time as a director of music at a church, and this is how we are able to do it:
Mondays and Fridays are my "days off". Well, that's kind of a joke, but they are at least my days to be at home, even if I am working on church stuff then.
Tuesdays and Thursdays my daughter goes to a daycare that is at another church about 2 minutes away from mine. DS comes with me to work and he does some school work and plays with his building sets (without his little sister to destroy his creations!). On Wednesdays, my husband works half a day, and stays home with the kiddos in the afternoon. He brings them to church for evening rehearsals, and usually brings me dinner, too.

We try to do math every day, and then I do SOTW at night before bed. I fit the other subjects in on Mondays, Wednesday mornings, and Fridays.
This works because so much of my job is done on weekends and evenings. Driving DS to school and following the school's schedule last year for Kindergarten drove me crazy. My job is so wrapped up in the church's schedule ... adding the school into the mix was awful.
The schedule is a little stressful, but in general we LOVE how it is working out. Our current pastor has been very supportive (we are not a denomination that is necessarily encouraging HSing ... not discouraging it, but not really on the radar), so if our next pastor is not supportive, I may have to figure out a different plan. But I'm committed to making this work, because I don't want to send my kids back to the public schools.
Sara