Hi ABMom--
I just had an APR ten months ago so somewhat fresh in my memory. I was in the hospital for five nights and walked a ton while there, that was not an issue. I can't say for everyone but you may come home with a drain of sorts in your abdomen and that hinders your mobility a little bit--I had two in after surgery and they pulled one out before I left the hospital and the other stayed in for another week or so after I got home. Just telling you that in advance as I had no idea about the drain until I woke up from surgery.
For me personally, hurt like hell to sit directly on my bottom--car ride home from hospital was not easy. I would always recline on the couch and do as little direct siting on my butt as possible for first two months actually. As for driving, my surgeon said not to for first six weeks and I get it as your abdomen is recovering, you don't want to be in an accident and you aren't fully comfortable up to that point with how you need to be able to sit, move, etc for operating a vehicle. After 6 weeks or so I was driving and sitting directly on my butt, but only when needed. I had five and a half weeks of radiation prior to my surgery so that did not help my butt in the recovery department. If you haven't had radiation then perhaps you will recover much easier/quicker and be back driving again sooner. You really do want to not sit directly on your butt though as much as is possible for at least first eight weeks only because it will help with the overall wound healing.
As for walking, that was never an issue, I could walk for miles. I did tire out more easily for sure those first eight weeks or so, but the walking always lifted my spirits. The only reason I wasn't up for shopping, etc sooner is because that required sitting in the car to get there and that hurt for a good six weeks I'd say.
Hope this is helpful. Truly, everyone's body heals differently so just kind of follow with how your body is personality responding to it all. It truly doesn't pay to push it only because that generally brings up more issues and delays the healing. It's tough to be somewhat out of commission for a while, especially with kids, but it will be better in the long run. Speaking of kids, yes, line up some carpools if you need to for at least first month or so just to be safe. If you homeschool you should be ok if you can manage it while standing or reclined on the couch? However, keep in mind no lifting anything over like ten pounds for first 6-8 weeks I think it was--that's where the kids can be super helpful! My two boys learned how to do their own laundry last fall while I was recovering.
Good luck and keep coming back here if you have any other questions and/or issues! Chances are many of us have been there and done that and can share our experiences.
And yeah, be prepared for it all to hit you like a ton of bricks once you have a moment to truly process it all. I am a year out from my diagnosis and I still have times when it hits me hard what all I have been through. Girlfriends make for excellent free therapy when those moments hit!