Link’s floating house - The Legend of Zelda: Tears of the Kingdom

Credit for this idea to all the posts and videos that came before me, about how to get Link’s house to float.
It’s a bit tricky. Took me a few hours to get the hang of it, and then several more to get it just right. For instance, there were weird things like the Garden Pond would be empty if I placed it on the second level. Also originally I used 2 Foyer’s to make a loop to carry the house skyward. That was quite stable. But then I decided to try it with just one Foyer as a hook. That way I would be able to have 14 rooms instead of 13. For whatever reason, that was more fidgety. Regardless, at least one room must be sacrificed. You will not be able to have a full 15-room floating home (AFAIK).
So, how did I do this? Again, I used a Foyer, vertically, on the roof to make a crude “hook”. Then 8 Hover Stones, a bunch of Rockets, and a Big Battery to create the lift. If you align this just right and your house is balanced, you can lift your house to just below the invisible height limit (I think it’s around elevation 275, give it take.)
Anything (that is part of the house) above the height limit will despawn IF Grantéson approves your design. So before inspection, the house will stay afloat - slowly losing altitude. After inspection, if you did everything right, the “hook” (in my case a vertical Foyer) will despawn and all other rooms will remain. However once you pass inspection, the position of your house (minus any despawned rooms) is LOCKED. So it will remain floating! Just don’t tell Grantéson you want to build again, because Building mode will cause it to come crashing down. Perfect your design before you launch it.
Passing inspection can be tricky. YYMV, but my house would often sway back and forth. Sometimes more than other times. Grantéson would often say it was teetering. Sometimes just waiting a second or two and asking again would result in a passing grade. Other times (as in the video) hitting the house with a bomb arrow seemed to nudge it steady enough to pass. (Other times that didn’t work.) Sometimes the house would pass, but the doors and interior features (e.g. bed, cook pot, shield displays, etc.) would not function - presumably because the house was too askew. It just takes patience, persistence, and a bit of luck. And of course a house design that is more balanced than not. One time (slightly different design) I lost most of my second story due to despawning. And another time I lost the whole house! Apparently the entire thing shot above the invisible barrier. If anything like that happens to you, I recommend waiting a few seconds before trying to pass inspection. The house will slowly descend, even with the Hover Stones in place. You may need to wait for it to drop to that sweet spot where you won’t lose more than the “hook” room. But be aware, if you let it drop too far - or if you fail to launch the house high enough to begin with - Grantéson will complain that you have non-house material in the zone and you will not pass. The Hover Stones must be above the invisible barrier for him to ignore them.
Once it’s done, obviously it’s hard to get to the house. A Travel Medallion cannot be placed inside or on top. So you must either ascend with Rockets & Hover Stone, descend from a sky island, or find some other way to get home. The house pop-in when diving from the sky islands is rather harsh, even for TOTK. But it’s still worth it to have a flying home with beautiful views of Akkala!