Zedekiah's sons (most likely young children) are killed while Zedekiah was made to watch.  There is no mention of killing his daughters.  In Joshua 17 provisions are made for the inheritance of daughters if there are no male heirs to inherit. This will be very important as we will read later on in the biblical record concerning Jeremiah.  There is also historical documentation concerning the fate of Zedekiah's daughters.

Earlier Ezekiel related this prophecy concerning King Zedekiah. He said that Zedekiah would not “see” captivity.

Ezekiel 12:13
I will spread my net for him, and he will be caught in my snare; I will bring him to Babylonia, the land of the Chaldeans, but he will not see it, and there he will die.

Jeremiah 39:7
Then he put out Zedekiah's eyes and bound him with bronze shackles to take him to Babylon.
Zedekiah did not “see” captivity. 

Remember Ebed-Melech?  He was the one who saved Jeremiah from the cistern.  Look how he is rewarded.  He is saved.

In Jeremiah 39 God relates to Jeremiah that he will fulfill His words against the city of Jerusalem for disaster, not prosperity.  The people had a choice; obey and choose prosperity or disobey and choose disaster.  They chose disaster.

As we read of the death of the many people in the city and the destruction of the city of Jerusalem, we couldn't help but think back on the description of the magnificent temple on the day of dedication by King Solomon.  No wonder people mourned the burning of the city.  In the listing of the treasures in the temple in Jerusalem that were taken by the Babylonians, notice the ark is not listed. But something as insignificant as wick trimmers are listed. Hmmm...

Cherubim were angels who guarded the holiness of God. Cherubim were fashioned on top of the ark. Ezekiel’s earlier vision the four creatures were cherubim. When God’s glory left from the mountain east of Jerusalem (the Mount of Olives) cherubim were beneath His glory. Did the ark leave when God’s glory left?

“…The land enjoyed its Sabbath rests…”
They had violated the Sabbath and God is collecting. Just a reminder that sin has consequences.

Jeremiah stays in Judah, not necessarily exclusively in Jerusalem, and does not go into Babylonian captivity. However, his work for the Lord doesn't stop there.  More later on Jeremiah's future from historical documentation.