If you’re doing a big shop, remember to buy sanitary towels as you will bleed for a few weeks. Also buy some stool softener - I liked Fybogel - and make sure you stock up on fibrous foods as you might get a bit constipated.
Could you phone round and see if there is a local childminder who could help out with school runs? If I was a mum living near you, or a neighbour, I would try to help you with school run as much as I could, or take your kids for a play date at the weekend, or help you rally some people to help so you had a little posse of people you could call on for help. People can be a lot kinder than you expect, and I love to accrue a few favours for when I’m in a tight spot myself.
If your dc’s dad says he is willing to help but really doesn’t have time to do more than look after the kids on his weekends and while you’re in hospital, ask him for extra money so you can fund taxis for the kids to go to and from school because you won’t be driving for at least six weeks, probably more. If he can’t or won’t help practically, then he could support financially.
After a few weeks you could walk for about 30 mins at a stretch if you feel up to it, would it be enough to do the school run, is it at all walkable?
I realise it gets expensive but see if there is a local cleaner who would help with a one-off visit - maybe in the second week they could come in and change sheets, vacuum, do laundry. You want to avoid heavy manual chores or lifting to speed up your recovery.
Remember you can book supermarket deliveries early so you bag a cheap slot, then you can finalise your order at the last minute so you get the things you actually need. You can ask the delivery person to bring the shopping through to your kitchen to save you carrying bags - they don’t kind now Covid is over.