There's a thread at the moment somewhere else on mumsnet called something like "how much did DP do in the first year". You might find it useful reading.
my experience, which is the same as a lot of other posters on that thread, is that DH could not help too much with the baby care at least in the early days, because I was breastfeeding. and because he was working fairly long hours. but he did all the food shopping, cooking, washing up, tidying, house admin during this time.
once dd would take a bottle (after 4 weeks or so) he did a bottle feed at 10 or 11pm so I could go to bed early and get more sleep. He also sometimes went into work late so he could look after DD for an hour 7-8am (after I did the morning feed) while I napped, especially if I had had a bad night.
Then of course once your child is older and/or not BF he can do much more. For example now we are both back at work. I do most of the weekday mornings and evenings because my hours are shorter but DH does the first 30 minutes once DD wakes (nappy change, milk/breakfast) and he gets home to do bedtime once per week. Then at weekends he takes her out on Saturday ams and also does most of bath and bedtime.
I do most of the child related admin as little describes, but DH does more house/car/finance related admin so it vaguely balances.
Hope this gives you some ideas. Agree it would be worth looking at something like Your Baby Week by Week.
It hugely depends on the child you get. For example little says babies sleep a lot in the day - but mine would only sleep on my lap or in a moving buggy, so didn't let me get a lot done!