Before becoming a capsuleer, Lyn lived in all kinds of various places all over the cluster, and usually not very luxurious (rather austere and small, but always a mess of books and stuff, ofc). This is why she continues to accomodate herself with whatever she can find. This is also why she did not even try to clean up her inherited provincial estates (very large, that was quite a palace in the middle of nowhere). Legacy she barely kept 2 years anyway (yeah, capsule and Holders are not very compatible, etc etc). So, when she was still in KotMC she had tons of appartements in her estates that she actually never really used, when she prefered to sleep in the derelict library. She also had her quarters in the Keep, decent in size, and a real mess, as usual.
Now that she has left both her Holdership and KotMC, she does not live anymore in her estates, and she probably still has her quarters in the Keep. Not sure if Aldrith is not going to kick her ass out of here someday. :p
Anyway, she is actually relocating herself and is soon probably going to set up a large refuge in some kind of crowded place (oh yeah, i loved Hensgha in DX3, blablabla), somewhere mostly incognito (because she prefers it that way). Of course, as a CEO of an emerging corporation, she has rather large offices in the headquarters (Stetille).