Our household is me, DH, two teenages DSCs and a baby. I am the primary carer for the baby; DH has a few scheduled times to look after her, so that I can work.
We have a jobs rota for dinner and washing up, plus one day when we get takeaway (I wash up that day, but DH pays for the takeaway so I think that's pretty fair!). DH walks the dog in the mornings, but the kids share the evening and weekend walks with him. This means that most days, everyone will have one or two jobs. The kids get pocket money, one half of which is only given if they've done their chores.
DH and I split things like mopping floors, cleaning bathrooms, on an irregular basis - whoever has time or cares more if it is done, I guess! I do all the 'unneccessary' housework - dusting, carpet cleaning, anything that would not occur to DH. We have different standards of cleanliness...
I do all the laundry, although DH often helps fold. DH does his own ironing. DH does most of the yard work, although he will ask the kids to help with specific jobs, and I will chip in occasionally. DH drives, I don't, so he gets stuck with any ferrying around.