Hebrew, then English. Open "What it means" under any line for the explanation.
While checking the tzitzit strings, say:
בָּרְכִי נַפְשִׁי אֶת יְיָ, יְיָ אֱלֹהַי גָּדַלְתָּ מְאֹד, הוֹד וְהָדָר לָבָשְׁתָּ.
Bless Hashem, my soul. Hashem, my God, You are so great. You are dressed in glory and splendor.
What it means
What does it mean that God is "dressed"? Ibn Ezra (a Spanish-born Bible commentator of the 1100s): clothes hide the one wearing them, and God's glory is more than the mind can look at. Radak (Rabbi David Kimchi of southern France, about 800 years ago): clothes show who someone is. You know a king you have never met by his robes, and God by the heavens.
Ibn Ezra and Radak on Tehillim 104:1עֹטֶה אוֹר כַּשַּׂלְמָה, נוֹטֶה שָׁמַיִם כַּיְרִיעָה.
wrapped in light like a cloak, stretching out the sky like a curtain.
What it means
You wrap Yourself in light like a cloak. You stretch out the sky like a curtain.
A Midrash (early rabbinic teachings on the Torah) asks where light came from. One rabbi whispers the answer: God wrapped Himself in it like a cloak, and the glow of His splendor lit the world from end to end. His friend objects: that is an open verse in Tehillim, why whisper? He says: I heard it in a whisper, so I pass it on in a whisper. This is that verse.
Bereishit Rabbah 3:4A statement of intent before the blessing, known as Leshem Yichud after its first words:
לְשֵׁם יִחוּד קוּדְשָׁא בְּרִיךְ הוּא וּשְׁכִינְתֵּהּ, בִּדְחִילוּ וּרְחִימוּ לְיַחֵד שֵׁם י"ה בו"ה בְּיִחוּדָא שְׁלִים בְּשֵׁם כָּל יִשְׂרָאֵל,
For the sake of uniting the Holy One, blessed is He, and His Presence, in awe and love, to unite the Name, Yud-Hei with Vav-Hei, in complete unity, in the name of all Israel.
What it means
This sentence is a late addition. It appears among the mystics of Tzfat in the 1500s. Rabbi Yechezkel Landau of Prague (died 1793) opposed it: earlier generations never said it, and a mitzvah with a blessing needs only the blessing. Rabbi Yosef Chaim of Baghdad (the Ben Ish Chai, died 1909) writes that it is good to say it before putting on tzitzit.
Reshit Chokhmah, Holiness 16; Noda BiYehuda I, Yoreh Deah 93; Ben Ish Chai, Year 1, Bereishit 1הֲרֵינִי מִתְעַטֵּף גּוּפִי בַּצִּיצִית, כֵּן תִּתְעַטֵּף נִשְׁמָתִי וּרְמַ"ח אֵיבָרַי וּשְׁסָ"ה גִידַי בְּאוֹר הַצִּיצִית הָעוֹלֶה תַּרְיַ"ג,
I am now wrapping my body in tzitzit. In the same way may my soul be wrapped, and my 248 limbs and my 365 sinews, in the light of the tzitzit, which adds up to 613.
What it means
I am now wrapping my body in tzitzit. In the same way, may my soul, my 248 limbs and my 365 sinews be wrapped in the light of the tzitzit, which adds up to 613.
How does tzitzit "add up to 613"? Rashi (France, 1000s, the most widely read Torah commentator): the letters of tzitzit equal 600. Add the 8 strings and 5 knots. Ramban (Nachmanides, Spain, 1200s) was not convinced. In the Torah the word has one yud fewer, which makes 590. For him the reminder is in the blue thread. The full back-and-forth is at Tzitzit.
Rashi on Bamidbar 15:39; Ramban on Bamidbar 15:32וּכְשֵׁם שֶׁאֲנִי מִתְכַּסֶּה בַּטַּלִּית בָּעוֹלָם הַזֶּה כַּךְ אֶזְכֶּה לַחֲלוּקָא דְרַבָּנָן וּלְטַלִּית נָאָה לָעוֹלָם הַבָּא בְּגַן עֵדֶן,
And just as I cover myself with the tallit in this world, so may I earn the robe of the rabbis and a beautiful tallit in the World to Come, in the Garden of Eden.
What it means
"The robe of the rabbis" is a phrase from the Zohar (the central book of Kabbalah). At Sinai, Moshe could come close and look only once the cloud wrapped him like a garment. So too, the souls of the righteous wear a garment in the next world. An early Chassidic book passes on what it is made of: the mitzvot a person did and the thought put into them.
Zohar, Parashat Noach (1:66a); Toldot Yaakov Yosef, Beharוְעַל יְדֵי מִצְוַת צִיצִית, תִּנָּצֵל נַפְשִׁי רוּחִי וְנִשְׁמָתִי וּתְפִלָּתִי מִן הַחִיצוֹנִים, וְהַטַּלִּית יִפְרֹשׂ כְּנָפָיו עֲלֵיהֶם, וְיַצִּילֵם כְּנֶשֶׁר יָעִיר קִנּוֹ עַל גּוֹזָלָיו יְרַחֵף,
Through the mitzvah of tzitzit, may my life, spirit, soul and prayer be saved from the outside forces. May the tallit spread its wings over them and save them, like an eagle that stirs its nest and hovers over its young.
What it means
Through the mitzvah of tzitzit, may my life, my spirit, my soul and my prayer be saved from the outside forces. May the tallit spread its wings over them and save them, like an eagle that stirs its nest and hovers over its young.
The last words are lifted from Ha'azinu, the song Moshe taught Israel on the last day of his life. There the eagle is God, watching over Israel. Rashi explains the picture: an eagle is gentle with its young. It does not drop into the nest all at once. It beats its wings nearby first so they wake up, and then hovers over them, "touching and not touching."
Devarim 32:11, with Rashiוּתְהֵא חֲשׁוּבָה מִצְוַת צִיצִית לִפְנֵי הַקָּדוֹשׁ בָּרוּךְ הוּא, כְּאִלּוּ קִיַּמְתִּיהָ בְּכָל פְּרָטֶיהָ, וְדִקְדּוּקֶיהָ, וְכַוָּנוֹתֶיהָ, וְתַרְיַ"ג מִצְווֹת הַתְּלוּיוֹת בָּהּ, אָמֵן סֶלָה.
May the mitzvah of tzitzit be counted before the Holy One, blessed is He, as if I had kept it in all its details, fine points and intentions, along with the 613 mitzvot that depend on it. Amen, selah.
What it means
Why do 613 mitzvot "depend on" this one? The Torah says of tzitzit: "you will see it and remember all the commandments of Hashem" (Bamidbar 15:39, the third paragraph of Shema). From that verse the Gemara says this mitzvah is weighed against all the others together. The Shulchan Aruch (the main code of Jewish law) says to have this in mind as you wrap.
Menachot 43b; Shulchan Aruch, Orach Chaim 8:8Standing, with the tallit in your hands ready to put on:
בָּרוּךְ אַתָּה יְיָ אֱלֹהֵינוּ מֶלֶךְ הָעוֹלָם אֲשֶׁר קִדְּשָׁנוּ בְּמִצְוֹתָיו וְצִוָּנוּ לְהִתְעַטֵּף בַּצִּיצִית.
Blessed are You, Hashem, our God, King of the world, who made us holy with His commandments and commanded us to wrap ourselves in tzitzit.
What it means
The wording comes from the Gemara, which gives this blessing for "when he wraps himself in tzitzit." For the small tallit worn under a shirt, the Shulchan Aruch allows the same blessing. The Rema (Rabbi Moshe Isserles of Krakow, 1500s, who gives Ashkenazi practice) records a different ending as the custom: al mitzvat tzitzit, "about the mitzvah of tzitzit."
Berakhot 60b; Shulchan Aruch, Orach Chaim 8:6, with RemaAs you put it over your head to wrap yourself in it, say:
מַה יָּקָר חַסְדְּךָ אֱלֹהִים וּבְנֵי אָדָם בְּצֵל כְּנָפֶיךָ יֶחֱסָיוּן.
How precious Your kindness is, God. Human beings take shelter in the shadow of Your wings.
What it means
God, how precious Your kindness is. Human beings take shelter in the shadow of Your wings.
The Torah calls the corners of a garment, where tzitzit go, kanaf, which also means wing. You say "in the shadow of Your wings" under the four "wings" of the tallit. A Midrash that quotes this verse: the righteous and those who do kindness shelter not under the wings of the sun or of angels, but in the shadow of the One who spoke and the world came to be.
Bamidbar 15:38; Ruth Rabbah 5:4יִרְוְיֻן מִדֶּשֶׁן בֵּיתֶךָ וְנַחַל עֲדָנֶיךָ תַשְׁקֵם.
They have their fill of the rich food of Your house, and You let them drink from Your stream of delights.
What it means
Radak reads this verse as a picture of the World to Come. The "rich food" and the "delights" are not food and drink. They are knowing God: "the good that has no bad after it, the fullness that has no hunger or thirst after it."
Radak on Tehillim 36:9כִּי עִמְּךָ מְקוֹר חַיִּים, בְּאוֹרְךָ נִרְאֶה אוֹר.
For the spring of life is with You. By Your light we see light.
מְשֹׁךְ חַסְדְּךָ לְיֹדְעֶיךָ וְצִדְקָתְךָ לְיִשְׁרֵי לֵב.
Keep Your kindness coming to those who know You, and Your righteousness to the straight of heart.
What it means
Keep Your kindness coming to those who know You, and Your righteousness to those whose hearts are straight.
In one of his readings, Radak sees two groups here. "Those who know You" work to understand God as far as their minds can reach. "The straight of heart" live honestly and keep the Torah without having reached that understanding. The verse asks for something for each.
Radak on Tehillim 36:11