The other answers you've gotten are good.
I just wanted to add a link to this guide on furniture replacement.
In a nutshell, villagers won't replace wallpaper/flooring. They can only replace furniture with other furniture of the same size and add small items that are meant to go on top of surfaces. This is done somewhat randomly, so your villagers could have, for example, multiple beds at the same time. There's some furniture that won't ever be used (most notably all large music players).
If you're willing to go the extra step, what you could do is have those villagers move out, then have someone adopt them, then have that person move that villager out immediately (using Amiibo is best), and then you can adopt that same villager again, and then they'll finally have their normal home. If you do it this way, that villager will even still remember you and will have special dialogue upon being invited ("I can't wait to be neighbors again!").
Edit: I took a look at Bill's actual house, and, uh, yeah, you're not going to have much luck, unfortunately. Certain items are also seasonal and won't be put out in the incorrect season, and the Cherry Blossom set is among them. The Branches also has a weird size if I remember correctly. You should be able to set out the Imperial stuff, and I believe the generic Jock house has a lot of 2x1 markers, so you have a lot of room to place the other furniture of that size. But his actual room has a pretty defined aesthetic, and you'll probably have a hard time recreating it fully.