In overall numbers, nuclear stockpiles have shrunk significantly since the peak in the Cold War. In spite of rhetoric, they have not grown significantly in recent years, either. The long-term trend in number of deployed nuclear weapons is downward and (if efforts continue) will likely remain so.

Stockpiles peaked at the end of the Cold War in mid-late 1980s with over 60,000 warheads. 40,000 when these children were being filmed. About 10,000 today and falling (although falling slower than it should). https://ourworldindata.org/exports/number-of-nuclear-warhead...