you need to sit and write a list of everything that needs to be done in the house - everything, including the childcare.
your only agreement to start with should be that you have the 8 hours solid childcare and he has the 8 hours solid work.
oh, he gets a lunch break, doesn't he? i wonder when yours is?
is that when the baby naps? good - start there. during your lunch break, don't do any work at all.
watch TV, MN, whatever, but no work.
right, so now you're even.
when he's not outside the home, you are both equally responsible for all household stuff, including childcare.
you are the only one that can BF, so that's your special task.
work out how long it takes you to do that.
in my house, DH makes dinner and washed pots while i'm BFing the baby.
what else needs to be done? laundry, nappy changing, bathing, ironing, cleaning.
anyone can put a load of washing in, and anyone can hang it up to dry. anyone can fold and put away clothes, and anyone can change nappies/diapers.
anyone can make the beds, anyone can clean.
my mum used to clean the bathroom bit by bit in the morning when she's washing herself. so, one day, she'll clean the sink, the next day the toilet, the next day the bath, the next day dust it and wipe surfaces, the next hoover it, etc.
you can both do the same all over the house.
in the morning, whoever gets up first, stick a load of washing on. (or the last to bed put it on a timer)
then whoever goes near it first when it's finished, take it out. and hang it.
all these things are so easy to do just whenever, and whoever takes responsibility for it does it to the best of their abilities (and only as much as the time allocated allows)
but it has to be shared and it has to be equal.
start with the "i'll feed the baby, you feed us two" thing and go from there.
if he's the one to put the washing on, then he also needs to prepare it, sort out darks and coloureds, etc,. then it's your turn to hang it out, so he can put it away once dry or iron his shirts.