there are a LOT of "right" ways to do it
I am a single working hs ing mom.
We have done work + hs many ways, and some work better than others, but they all work for us.
I've found the one thing that does *not* work for us is me working FT with a lunch break less than one hour. Cannot do it. I at the bare minimum need to come home and check in on lunch.
In general, if I work days, I give lessons in the evenings and they do homework during the day. My oldest ds is almost 17, so being at home is not a concern; when we had sitters/ relatives, they acted as proctors or supervisors to keep my DC on task, but not to instruct. Most of our learning is LIFE learning (see Home Grown Kids
and Relaxed Record Keeping
for great ideas).
We LOVE LOVE LOVE our lives, and we're reaping great rewards.
PM if you'd like more details.