Radak: The coming 13 verses are essentially the first 15 verses of Tehilim 105, with small differences. There, David wrote it and elaborated to tell about Zera Avraham until they entered Eretz Yisrael. Malbim - for 43 years, until Shlomo brought the Aron to the Beis ha'Mikdash, they sang this in the morning, and in the afternoon, "Shiru la'Shem Barachu Shmo?" ¹ (verses 23-33 here; Tehilim 96:2-13) (Yalkut Shimoni Shmuel II, 142). Here it also mentions Hashem's promise of the land to Avraham, and that He commanded the nations not to harm [Avraham and his seed]. He showed His wonders in Sedei Pelishtim, so they would not harm the Aron or Yisrael His nation. Also refer to Tehilim 105:1:1:2.

Radak: He tells the singers and the Tzibur.

Malbim: It is His close ones, who received individual benefits.

'Rashi': Call to Him to help His Aron. This is like "u'Krasem b'Shem Eloheichem va'Ani Ekra b'Shem Hashem" (Melachim I, 18:24).

Radak: Teach ¹ people His way, like "va'Yikra Sham Avram b'Shem Hashem" (Bereishis 13:4). This is like the verse continues "Hodi'u va'Amim Alilosav."

Radak (Tehilim 105:1): Pray to Him. This is like "uv'Shem Hashem Ekra" (Tehilim 116:17).

Vilna Gaon: Attribute all that you do to Him, like the Avos did ? "va'Yikra Avraham b'Shem Hashem" (Bereishis 13:4).

Rashi (Tehilim 105:1): His deeds [Radak - against the Pelishtim due to the Aron].

'Rashi': His Gevuros and wonders that He did with the Aron.

Vilna Gaon: It is the great Chesed that he conducts with Yisrael. He gives good to a Yisrael, then takes it away to atone for his sin in this world.

Malbim (Tehilim 105:2): They are conduct and deeds according to His Midos ? "Rachum v'Chanun v'Rav Chesed" (Shemos 34:6), which is according to people's deeds, and reward and punishment.