I work FT but have flexible hours, DH also works flexibly and my parents help (but we managed before they moved and they weren't at all local before, so it is do-able without family support). We only have one dd (7).
Batch cooking solves the food issue, alongside having a repertoire of nice healthy meals that don't take long to prepare (I find fresh fish is dead easy). Curry freezes well and tastes better when it's been prepared in advance. :)
After school clubs can be managed with a bit of organisation/planning - dd currently does something most days. It can be helpful to befriend other parents at clubs so that you can share lifts/take turns etc. I usually do my weekly shop while dd is at one of her many dance classes, so use the time while I'm waiting.
We have resisted getting a cleaner so far but the house is a bit of a tip at the moment, if I'm honest, so might need to reconsider that. Everyone has to chip in with stuff in the house, or it won't get done - we have a rota in the kitchen. But you may also need to let your standards slip a bit. Decide what you can live with, and what you can't. For example, kitchens and bathrooms need to be clean for me, but I don't worry about a bit of clutter in the sitting room.
Ironing rarely gets done in this house. Life's too short.
I do a load of laundry each day, load it the night before and put it on timer for when I get up, so I can hang it out before going to work.
DD does her homework while I'm getting the dinner etc, she's pretty self-sufficient and doesn't need much help, but she usually gets a week or so to do it, so there's always the weekend for bigger projects.
We have a big family calendar in the kitchen with everything on it. Also a google calendar that can be shared electronically - I have it on my phone.
It's hectic, certainly, but easier if you're organised and really, life isn't shit at all. I like having my own identity at work, earning my own cash etc. And I think it's good for dd to see that it is possible to combine a good career with being a good mum.
Oh, and we always have plenty of time for chat and cuddles. :)
If you want to work, OP, go for it - good luck!