Nuclear waste is actually the best kind of waste because of its very high density and the fact that it's solid.
The density is so high that the US has accumulated just 83,000 tons over several decades operating nuclear power plants:
> https://www.energy.gov/ne/articles/5-fast-facts-about-spent-...
That may sound a lot but compared to coal or, in fact, any other type of power generating plant, the amount is absolutely tiny.
In France, the whole waste of the country's nuclear plant operation fits into one hall:
> https://twitter.com/Orano_usa/status/1182662569619795968
What helps in reducing the waste by large margin is reprocessing the fuel and re-using it in fast reactors as explained here: