Haru quizzes her on vocab while her hands are busy.

Kennedy tries to play along silently.  Except when Ren misses one but Kennedy knows it!  That one she chimes in on.

That does not happen often, because Ren has been intensively studying Japanese for a couple months and casually watching anime for years.

It's just the one, really.  But she feels good about it.

Speaking of anime, would Kennedy like to see some? They can have subtitles on and she and Haru can just use willpower to not rely on them this once.

"Ummm.  You think it's good for me, Swan-san?"

"I think it helps with acclimating to Japanese language and culture - do you not like movies or television in general?"

"I just only watch ones that are positive for my development."

"Does that mean you're only allowed educational shows or only ones that are like, in line with some religion, or... what?"

"We are not religious.  I watch ones that are educational or art."

"Absolutely anything in Japanese is educational for you right now," Ren declares, "so long as you are trying to pick out words and listen to how everyone's accent works, instead of just reading the subtitles and ignoring the audio."

"Yes, Swan-san.  That makes sense."

With that decided here is Ponyo.

This is very juvenile but Kennedy is trying her absolute hardest to learn from it.

It being juvenile means the language is more accessible, and also it's about a little girl of magical origins who adopts herself into a household with a little boy and a not-technically-single-but-dad-sure-isn't-home mom. If Kennedy does not identify with Ponyo that is her business though.

Are you trying to tell me something, Ren, Haru doesn't ask.

Maybe this is also valuable information about what normal children are like.  But she knows that characters in movies are often exaggerated...

The animation style at least is probably unfamiliar, but maybe she will get used to it over the course of the movie.

And then there's a new apartment - in the same building, in fact - with three bedrooms and two bathrooms, that they can go check out and assign the rooms in for the movers who are showing up tomorrow.

Oh!  Kennedy will of course take whichever room is unwanted by the other two.

If she doesn't pick something Ren will take the one that has a closet and Haru will take the one that opens onto the balcony and that leaves her with the one that doesn't have either of those characteristics.

It would be nice to have either of those things, but not as nice as a lot of the other things she may want, like the Swans thinking she's polite and grateful to them.  This one is fine.

(And this building isn't even brick, so it's not like having a balcony would give her any advantages in unconventional exit routes.)

Rooms: assigned. Extra furniture for Kennedy: ordered, assuming she has reasonably achievable furniture preferences. Back to locking in on Japanese study.

Kennedy's furniture preferences are eminently achievable and the cap on her dedication to learning is remarkably high for her age.  Maybe now she's ready to try practicing very simple conversations with Swan-san?

Sure! They can act out first day of school style conversations that will almost certainly not literally happen but use simple school-related words, like "do you have your pencil" and "which color folder do you use for science".

Of course she has several pencils, and her folder will be blue.  Et cetera.