Rabbi Aharon Wechselstein, author of the acclaimed Sefer Avoteinu and Sefer Rabboteinu, also wrote a complete commentary on the Kinnos, including those for the evening. The entire commentary is freely available online.
Here is a Sefer Kinnos, published by Hotzaat Ohr HaBahir in 1965 with dual commentaries, Beit Levi and Mateh Levi, explaining the words and content of all the Kinnos.
Rabbi Tzvi Haber of TorahLabs has some short thoughts on the evening Kinnos here, as part of a larger compilation of insights into the Kinnos from his father, Rabbi Yaakov Haber.
I also found this brief explanatory commentary by one Avraham Oman, which clarifies poetic and vague terms throughout the Kinnos.