I think that being a SAHM to one 2.5 yr old is different to being at home with more than one - I've got 3 under 5 and it is not a walk in the park by any means. They are all boys and are energetic, noisy and demanding!! I'm a SAHM but also work freelance.
I do all the washing, drying, and most ironing - when I'm busy with work, dh does his own ironing.
I do most of the cleaning too but, again, if I've got lots of work on, dh shares it.
I do most of the cooking too but I enjoy that.
When dh is here we share what needs doing - he usually gets the boys' breakfast in the morning while I go for a swim and then he goes off to work and I take over the children.
At night, he immediately steps in to help with bathing, reading stories, bed etc.
He also does a lot of the shopping - if we need stuff I email him a list and he goes on the way home. He also does loads of errands in his lunch break - going to the bank, post office, picking stuff up we might need, making phone calls.
I think it's absolutely right that it should be shared but then if I only had one child and a cleaner I have to say, I feel my life at home would be rather a doddle!