I totally here you on the night shift thing! My DH just finished 4 night shifts and it was such a pain keeping Moo quiet and not being able to do anything noisy!
But to answer your question:
Every day I do a load of washing, which alo means everyday I fold and put away clothes or stuff cloth nappies. I do dishes several times per day and tidy the kitchen while I'm at it. I can't stand a cluttered kitchen and can't do anything in it until it's tidy!
A few times per week I vaccuum and mop the floors. I wish I had a dust buster so I could do certain spots all the time such as the rug Moo plays on. Change Moo's cot sheets.
Every week I'll strip our bed which is a big job as it's king sized. I clean the bathrooms every week but one is Moo's so is really not that bad, clean it anyway while I'm at it though. Clean both loos. Properly clean the kitchen and microwave.

Obviously if DH is on night shift I don't vaccuum, if he is I'll try to do it first thing before he goes to sleep. I guess none of what I've written is exact due to his shift work but it works out these things get done on this average, if that makes any sense at all lol!

Maybe once a month I'll do big things like clean the laundry cupboards, go through a few drawers, clean the oven (I HATE doing this!).