I did this as a single mum, so with two of you it should be very doable.
I can't speak for the division of labour, as there was none, but here are things that helped me:
Plenty of cheap clothes for the DC, so that I wasn't depending on having to run endless evening washes, so they had clean clothes for nursery / childminder
Everything prepared the night before that possibly could be - my clothes, their clothes, my lunch, their lunch etc etc etc
Online shopping - an absolute must, saves tonnes of time and you can do repeat orders if you are knackered and don't have the energy to be creative and interesting
Slow cooker - 15 mins of prep in the morning and lovely hot casserole waiting on return home. There is something really lovely about opening the front door and the smell of dinner wafting towards you.
Household admin - get all your direct debits set up, no messing about with bill payments, just ensure it all happens automatically
Lastly - be kind to yourselves. Remember that eating a ready meal is not a crime, boiled eggs and soldiers or beans on toast are adequate meals every now and then. Book a day off occasionally when the DC are at nursery or with the childminder and do something for yourself. Things will go wrong, the car will break down, the washing machine will go caput BUT it will be ok and even though it seems stressful at the time, it will pass. Go to be early - tiredness is your enemy.