I will take a guess why the Carpenters moved from their first Downey home: that part of Downey was in the Paramount Unified School District which meant they would have gone to Paramount HS and not Downey or Warren HS, which had a better reputation at the time.
I don't know all of it but Richard and Karen lived at home until they were 25. Then they bought a house together, a really nice one which being unoccupied later, was starting to fall into ruin because Richard married and moved to Thousand Oaks. At some point shortly before her death, Karen had a condo by herself. The parents moved to what sounds like retirement living, I'd have to go find a video that gives the name of city or neighborhood.
I watch 3 or so videos every day, some I like to play over and over. From the comments and languages, I see there are old fans and there are still new fans. It is so fortunate there is such a treasure trove of photos and video clips. Some of their best early original music was burned in a fire, think at Universal Studios. My memory isn't that great so please pardon if I didn't get something right.
I so regret I missed out on their music in the 70's. I would have liked it then but it's different to watch video all these years later, and I doubt could ever have attended any of the wonderful live concerts. I went to see Johnny Cash when he came to town and don't like that kind of music. I don't know what I liked. Bob Dylan Blowin' on the Wind and the rest of that album, How Many Times something.