Corrections in red.  Stylistics in blue.

About my town [1]

So. I live in Russia, in a city [1] named Kaliningrad. Before 1946, year it was called Königsberg, which means the King Mountain (hill), and Königsberg belonged to Germany. But after the Second World War, the city became part of the Soviet Union. Now thеre are many showplaces in my city which date from the time of German sovereignty.

Later I will tell [1] you more about my town.

[1]  I assume that Königsberg has a local government, and I've read that it has a significant population in the hundreds of thousands.  These are characteristics of a city.  A "town" is usually "small," and does not have its own government.  However, you can call even a large city a "town" if you want to convey (передать) a feeling of warmth and affection.  When you say "about my town" and "I will tell you more about my town", it sounds like you are expressing warmth and pride in the place you live.  The word "city" does not convey the same feeling of warmth, affection, and pride.