I think what you would be most interested in is "show us your house ducks," thread. Put that in the search box and it will come up for you. You start a new post there just like you did in this thread.
There is also a " people with house chickens ," thread. Some folks even have house pet geese. From what I've read duck diapers are pretty expensive, if you are good at sewing, you could buy one and figure out how to make more. Ducks also seem to" go" a lot more often than chickens, and more creatively ( over walls, ceilings, etc.).
My friend has had chicken house pets over the past 25 years, sometimes as many as 5 in the house at once (bantam breeds). She just keeps cleaning supplies handy and pounces in as soon as she spots a mess.
I imagine you could have to change the diaper or liner many times in a day. Some duck pets are outdoors during the day in a run, and come in to sleep etc. in the home. Maybe they could even go through the night without messing until you put them out in the morning