The amount of high level nuclear is overstated and over-exaggerated it's common for people to refuse the actual figures.

This is what 20 years’ worth of spent nuclear fuel looks like safely stored at the former Maine Yankee nuclear plant.
The plant generated 119 billion kilowatt hours of reliable power from 1972-1996, which is enough to power half a million homes each year.

20 years for half a million homes. And that's an old generation reactor which is less efficient with fuel usage and not even considering that something like 98% of it can be reprocessed into useable fuel if the incentive was there. The reason its not is the same reason old solar panels aren't reprocessed into new panels: It's cheaper and easier right now to just produce new ones.

Nuclear waste is a problem for the most like any other. Given enough investment it can be solved, and no I'm not talking about finding better ways to store it. China has made major advances in this regard, their newest reactors generate waste that is much less long-lived (hundreds rather than tens of thousands of years), and they can reduce the volume of that waste through recycling.

I'm not saying nuclear waste is not a hard problem to solve, it is and we must be careful as a society to make sure it is managed well. In the meantime, we have a climate catastrophe which is much more pressing. Coal plants, which provide base-load electricity, are a prime target for conversion to nuclear, because their steam turbines can be reused. This could decarbonize a large part of the electricity mix of many countries.