Here is a letter that the Rebbe wrote to Ella Hirsh Einbinder, a businessman in New Haven, Connecticut, on the occasion of his moving into a new home. (I still have not found an English version of the Rebbe's form letter for those who move into a new home.)

By the Grace of G‑d
16th of Tammuz, 5720 [July 11, 1960]
Brooklyn, N. Y.

Mr. Ella Hirsh Einbinder
New Haven, Conn.

Greeting and Blessing:

I was pleased to receive the news of your having moved into your new home, which reached me in the auspicious period of the 12-13th of Tammuz, the anniversary of the liberation of my father-in-law [Rabbi Yosef Yitzchak Schneersohn] of saintly memory.1 May your moving into your new home be in a happy and auspicious hour, and may you, too, be liberated from all anxiety, so that you will enjoy good health and true Nachas in your new home and continue to illuminate it with the light and warmth of the Torah and Mitzvoth, so that it be a source of light and inspiration for the neighborhood and community at large.

Hoping to hear good news from you always,

With blessing,

By [signed by a member of the Rebbe's secretariat]