The Achronim ask a chakira regarding tzitzis. Is the “begged” of the tzitzis considered part of the mitzvah or is it considered a hechsher mitzvah, as we find that a house is just a hechsher for the mezuzah

The Bais HaLevi in 1:5 and the Avnei Nezer Yoreh Deah 390 say that the ikkar reason one puts on the “begged” of tzitzis is to have an extra covering on the body. The Kehillas Yaakov in Yevamos 7 concurs and says the mitzvah of making tzitzis only applies to the strings of the tzitzis but putting on the begged itself is not the mitzvah

The Shailos U’Tshuvos Eretz Tzvi II:1 disagrees with this position and says that in our day and age the begged is also a part of the mitzvah since we only put on this begged for the mitzvah of tzitzis

Reb Reuven Grozovsky brings down in his sefer on Sukah 4 in the name of his father-in-law the Birchas Shmuel, that the mitzvah of tzitzis is dressing himself with the begged of tzitzisReb Reuven argued with his father-in-law and said the mitzvah is making the tzitzis and the putting on the begged is just a mechayev for putting on the strings of tzitzis. A problem arises if you hold that the begged is just a hechsher mitzvah based on the gemara in Yevamos 4 where we see that an asseh pushes away a lo sa’aseh from the fact that one can wear k’laiim on his tzitzis. The question is if the begged is not part of the actual mitzvah, how could the hechsher mitzvah be docheh the lo saaseh of k’laiim? The answer could be that since there is no way to put on tzitzis without the begged even though the begged is only a hechsher mitzvah; nevertheless, it is still a key component to doing the mitzvah of tzitzis. Therefore, it would be docheh the issur of k’laiim

The Bach in siman ches writes that the bracha of tzitzis is a birkas hanehenin. This would prove that wearing the begged of tzitzis is just a hechsher mitzvah and therefore a person needs to enjoy the begged of tzitzis

A difference that can result as per the above chakirah is whether there is a mitzvah to buy a beautiful begged for the tzitzis. If the begged is part of the mitzvah, then one would be required to buy a nice begged as it says, “Zeh Kaili Ve’Anvehu.” If it is not part of the mitzvah, and is just a hechsher mitzvah, one would not be required to get a nice begged

If you hold that the begged is part of the mitzvah, then one would have to wear the same beautiful begged both on Shabbos and weekday as the mitzvah of hiddur mitzvah comes before the mitzvah of kibbud Shabbos. The Mishmeres Chaim says that even if we hold that the begged is just the hechsher mitzvah, but once it has the tzitzis tied to it, it becomes part and parcel of the mitzvah. Therefore, one would be required to wear a nice begged both during the week and Shabbos

Let us all be mekayem the mitzvah of tzitzis in a beautiful manner and not wear flimsy begadim of tzitzis. We will then be mekayem the mitzvah of tzitzis be’hidurah