No obviously not. Your DH's "work day" is when he leaves for work and when he gets back (with time to actually get ready to go and time to get his shoes off and shower or whatever when he walks in the door, and you should be doing most of the getting up with the children on work day nights because being tired at home is more ok than being being tired at work so long as you're still ok enough to safely have the baby obviously).
Your "work day" is the same hours as his, and as above. You should be doing everything for the children in that time and doing as much life work as you can get in, putting in the work to get it done as if it was an actual job, and that should be everything that has to be done in the day as well as as much of what can be done whenever as you can get done with the children there.
The day the baby is at nursery too is not "a day for you" though. That again is your "work day" and you should be getting done much of the housework and life work in that time and not using it as a day off unless your DH gets the same. When DH is at work you are at work. You should be doing more of the housework and cooking than your DH does, and shouldn't treat it as DH being fortunate that you've made him a meal he likes for a lunch to take with him or a making dinner because this is now one of the jobs you are doing the same as he is doing a job to earn the money to pay for the food.
Outside of "working hours" you should be doing housework and life work much more equally. He should be being equally a parent, because both your work days are over and you are now being a family and in a relationship again. The money he earns is family money and should be shared, and you shouldn't see yourself as more of a parent or more of a scivvy or whatever becuase you are both doing equally valuable jobs and no one is more important than anyone else. This should work for your family and you should both be ok with what you do and believe eachother is doing their share, becuase if DH thinks its "his money" and that you are just being lazy at home (obviously if you are being lazy and he's coming home to find the kids watching cartoons, convenience frozen food for meals, no shopping in and the house untidy then you aren't doing your "job" just the same as if you turned up for work and didnt actually work or just did the minimum all day, and he has every right to be pissed off), and you should not think that you are now "more" of a parent than he is because you're doing more "childcare" or say that he doesnt do as much you around the house, because this will only work if you both feel you are getting a fair share from you being a SAHP and him being the breadwinner, so you need to be really clear what you both need from this or it won't work.