Similar situation here OP, except I will be working 4 days (30 hours) so not quite full time which I appreciate does make it easier!
During the week we get up, get dressed and out of the house for 7.15. Depending when I’m up I sometimes hang the washing out before leaving, otherwise I do it at night (or tumble dry in winter if we can afford it!) Put slow cooker on or take meal out of freezer ready for later.
Take coffee & toast/ smoothie to have on commute, kids get breakfast at childcare (one in nursery, one school breakfast club). Both kids get lunch at nursery/ school and I have supply of soup/ crisps/ apples at work for lunch.
Pick them up on way home (around 5pm), they will have eaten already but might want something small so I’ll put them infront of the tv for half an hour whilst I sort them something to eat and finish our dinner off - they will have toast/ crumpet/ egg/ beans/ soup/ pasta or anything that only takes a few minutes to prepare. I’m happy they are being properly fed in childcare.
After food, baths and bed, I’ll sort the washing by which time DH is home. I have a large 10kg washer so alternate between washing normal clothes/ nappies etc so I don’t have to do more than one wash a day. Wash nappies on day 3-4, set main wash to be done overnight ready to hang next morning (try and time this for a weekend/ one other weekday morning where DH is on hand to help).
I cook as much as possible from scratch, preparing at the weekend and after the kids are in bed for the next day. Try and keep meals simple in the week - stir fry, salad, etc. Batch cook and freeze at weekends, use slow cooker a lot. I have started using more frozen veg rather than fresh to save prep time. I do the food shop online during my lunch break.
Neither of us is managing to keep up with other housework (cleaning) so we are getting a cleaner for a couple of hours a week and also someone to cut our grass once a fortnight. These jobs fall lower down our list of “essential tasks” so although we aren’t minted, we are making sacrifices elsewhere to accommodate this.
Sorry for rambling, hope that helps!