What are the implications of "Lo Chein Avdi Moshe"?
Seforno: It implies that Moshe was different than all other prophets, inasmuch as he prophesied with the Name of Hashem even whilst he was awake. 1
What are the connotations of "be'Chol Beisi Ne'eman hu"?
Ramban (in Pasuk 6): It means that, as opposed to other prophets, who prophecy by means of dreams (which require interpretation), Moshe sees everything clearly and understands automatically everything that he sees.
Rashbam: It means that Moshe is consistent - that he is flawless at any time of day. 1
Hadar Zekenim (in Pasuk 6) #1: It means that everyone knows that he is reliable 2 since He speaks to him directly, and not be means of riddles.
Moshav Zekenim and Hadar Zekenim (in Pasuk 6) #2: They maintained that Moshe should marry a woman with good lineage. Hashem replied that he married when he was a shepherd, and did not want to divorce her now that he was king, because he was loyal.
Targum Yonasan: It means 'In all the house of Yisrael My people he is trustworthy'. 3
Oznayim la'Torah: With reference to the Mishkan, it means that, as opposed to Aharon, who is permitted to enter the Kodesh, but not the Kodesh Kodshim, 4 Moshe may enter anywhere, even the Kodesh Kodashim, whenever he pleases. 5
Rashbam: As in Yeshayah 22:23 - A peg that is fixed in a strong place, will not fall out at any time.
Da'as Zekenim: I speak to him directly - I told him to separate from his wife, "ve'Atah Po Amod Imadi" (Devarim 5:28).
See Peirush Yonasan and Na'ar Yonasan.
See Oznayim la'Torah.
Refer to Vayikra, 12:2:6:1.