I like "Tonglin Thatched Cottage" because there was a literary "Tongcheng School" in the Qing Dynasty. The name "Tonglin Thatched Cottage" means respecting teachers and teaching, and teaching Taoism to ancestors.
Ji means big and broad, so Jian Lin is a big forest. It always reminds me of the saying that no matter how big the forest is, there are birds. Although the sage Confucius once said, "With education, there is no distinction." But it should also be a "gentleman-friendly, remote person". No one can get involved, and there must be a basic principle.
So I personally prefer "Tonglin Thatched Cottage".