A Priest
שמות ב,יז : וּלְכֹהֵן מִדְיָן שֶבַע בָּנוֹת
The Baal HaTurim notes that the word לכהן appears two other times in Tanach in regard to the Levite that served as a priest for Micah’s idol. This alludes to the saying of Chaza”l that Yisro served as a priest to false deities. When Moshe married his daughter, he forced Moshe to swear to him that the first son born would also be a priest for false deities. Moshe’s intention was that he knew he would ultimately inspire his father-in-law to change for the good. Yisro was influenced and converted and did not hold Moshe accountable for his oath. Nevertheless, Moshe was punished for making this oath, and his grandson did become a priest to false deities.
Thus, in the verse (Shoftim 18,30) וַיָקִימוּ לָהֶם בְּנֵי־דָן אֶת־הַפָּסֶל וִיהוֹנָתָן בֶּן־גֵּרְשֹׁם בֶּן־מְנַשֶּׁה הוּא וּבָנָיו הָיוּ כֹהֲנִים לְשֵׁבֶט הַדָּנִי עַד־יוֹם גְּלוֹת הָאָרֶץ, there is a tradition to suspend the letter נ of מנשה a bit higher than the other letters of that name. Chaza”l explain that Gershon was the son of Moshe making Yehonason his grandson. Nevertheless, they added the letter נ to Moshe’s name to hang the degradation of idolatry with the degraded one (Manasheh a later King of Yehudah that established idolatry throughout the land).
Chaza”l were protecting Moshe’s honor by not explicitly mentioning his name, similarly to the leaving out of Yaacov in the genealogy of Korach.
Moshe’s staff
שמות ד, ב: וַיֹּאמֶר אֵלָיו יְהֹוָה מַזֶּה [מַה־זֶּה] בְּיָדֶךָ וַיֹּאמֶר מַטֶּה:
The Baal haTurim observes the phrase "Ma-zeh" is read as two words ('mah zeh') but written as one. It can be read מ' זה בידך "forty is this in your hand", meaning that the weight of the Moshe’s staff was forty seah, hinting at the enormous weight of the staff.
This term is an example of kri (pronunciation) and kesiv (written). The kri form treats it as if it were two words מה זה, whereas the kesiv treats it as one word מזה. The Baal HaTurim interprets by combining the two approaches, using the two words from the kesiv with only three letters from the kri.
The modern equivalent of 40 “seah” is hard to determine. Opinions of the weight of Moshe’s staff range from 760 to 1280 pounds.
Owners of the Staff
שמות ד, יז : וְאֶת־הַמַּטֶּה הַזֶּה תִּקַּח בְּיָדֶךָ אֲשֶׁר תַּעֲשֶׂה־בּוֹ אֶת־הָאֹתֹת:
The Baal HaTurim comments that there are five tagim over the letter ה (others say the 'Tes') in the word "ha'mateh". This is because Moshe was the ninth Tzadik to own the famous staff - Adam, Chanoch, Noach, Sheim, Avrohom, Yitzchak, Yaacov, Yosef and now Moshe.
Many opinions exist as why the Baal HaTurim connects the letter ה and the five tagim to the nine Tzadakim. One opinion is that he left out Paroh since he did not wish to include him with the Tzadakim. Others say that he originally included Yehudah but a later copyist corrected the text. Others say the letter hey usually has one Tagim (standing for the value of 5 for the letter) plus the 4 other tagim. The Radak suggests that the text should read the tagim on the letter ט which has a value of 9.
Also, the Baal HaTurim states that the Gematriyah of "ve'es ha'mateh" is equivalent to that of 'Sapirinun' (sapphire), which is what the staff was made of.