You know the old saying, "Everybody's different." Well, you probably don't want to hear this, but..... everybody's different.
I've had four abdominal surgeries in my adult life. My first c-section (when I was 28 and in the best shape) was by far the HARDEST recovery. My hysterectomy was "next-worst". I took 6 weeks off work, really needed 8. I had a 16-year-old dd (who mercifully came to stay with us while I was home to cook and help out) and a 3-year-old ds who still needed lots of help bathing, going to bed, and all the rest. My second c-section (when I was 40) was pretty easy -- I took 3 months off work (because I could afford it, not because I thought it would be tough) but honestly could have gone back to work at 3 weeks.
My hematoma surgery, a year after my hyst, was by far the easiest surgery I had. I was back to work at 2 weeks post-op, even though I still had a drain and the incision hadn't closed.
What I'm trying to say is that you can't necessarily judge how you'll do with this surgery based on your other ones. A hysterectomy involves lots of internal stitches which need to heal, so it's different than a c-section in that respect. You may bounce back great, but honestly, most (((sisters))) need 6-8 weeks for initial healing.
Just want you to be prepared.
As for driving -- my instructions said I shouldn't drive while I was still taking narcotic pain meds. Honestly, I didn't feel like driving for about 2-1/2 weeks, anyway. And carpooling with kids can be pretty stressful... you may want to beg off for several weeks on that one. My advice would be to just play it by ear and say you're not sure when you'll feel up to it.