The passuk in 6:7 says
ר' דניאל מובשוביץ זצוק"ל in a letter to someone that had learned in the Beis HaTalmud in Kelm, quoted in הערות ועיונים על אורחות חיים להרא"ש מר' שמואל שכטר:
Rabbeinu Bachay is talking about Tzedaka. His words are equally true regarding the Divrei Torah and Mussar that are said at the table.
In my cousin's house, Harav Mordechai Tendler, whose Rebbitzen is the daughter of Harav Yaakov Jofen, they have had a minhag from the time their children were babies that at every Shabbos seuda the family reads and discusses a chapter from the Alter of Navardok's Madreigas Ha'adam. I am not necessarily recommending this for everyone. Some people can make it an interesting and stimulating experience that the children look forward to. Others would do it as a religious obligation and the children might see it as an boring and tedious imposition. It has to be right for you: the Seuda on Shabbos has to be a pleasure and something everyone looks forward to. If the only way to ensure the pleasure of the Shabbos meal in your house is by talking about the Mets, so be it. But if you can manage to get the Madreigas Ha'adam in, in a way that adds to the pleasure of the Seuda, then that would be wonderful.
This bonding of family and Torah is not limited to parents. It applies equally to grandparents. Regarding the passuk in our parsha 4:9-10,
the Gemara in Kiddushin (30a) says
The Jewish home, the Jewish family, is the Har Sinai of every generation.