Regarding tasks, I think it's up to a couple to divide the labor of the home according to their situation and skills/predispositions.
As an example, my wife really enjoys cooking, and she currently works part time (though she'll probably be a fully stay-at-home mom once we have kids), so she does most of the cooking.
I, on the other hand, usually clean the bathrooms, just because I most often remember to do it first, and because I often like to have something kind of mindless to do right after work.
A housewife/stay at home mom will usually end up doing more of the household chores, just because she has more time to do so, but I think what exactly the balance or division of labor looks like will vary from couple to couple.