It's difficult to give an objective opinion on this as there's likely to be so many factors at play here but I wonder how other couples would divide up responsibilities in this scenario.
DH usually works Monday - Friday 6-6 with a commute time of 5 minutes (can vary to earlier finish times perhaps once a week but usually no earlier than 3). He does most bedtimes with our 2 year old.
I work 8-4.30 with a commute time of 45 minutes, get DS up and ready, do nursery drop offs and most pick ups, fit some cleaning in the evenings and make tea.
My question is, how would you sort chores and of course, who gets the weekend lie in? Do you think we should take turns (one does a few chores on the Saturday and one on the Sunday) or does it seem one of us should be doing more?