Others have already covered the arguments against cost and waste storage pretty well, but I'll just add a couple points:
As far as cost, when dealing with energy, there's not only the financial cost of building and running a plant, but the environmental cost and the financial cost of dealing with that. While nuclear plants are more expensive to build monetarily, they don't contribute to global warming, which means less negative effects from that, which is both a lower cost environmentally and financially since the estimated monetary cost of global warming is massive.
As for waste, as has been pointed out, not only can it simply be stored in underground pools which, even with large amounts of waste fuel, is nothing compared to the pollution from other energy production methods (even the supposed wonderful EVs have massive batteries that are potentially very toxic, have to be disposed of properly, and result in massive water waste and possible environmental damage when they catch fire), but breeder reactors can use the waste and reduce it to a very tiny fraction.
If we'd gotten on board with nuclear power half a century ago, the world would likely be a very different, much better place. Energy would be cheaper, there would almost certainly be less conflict as a result, the environment would be cleaner/healthier, EVs (and battery technology) would likely be several years or more farther along, and so on. But people resist it due to ignorance and NIMBYism, so here we are. Even now, with all the talk and concern about global warming, after multiple wars in the Middle East, with everything going on with Russia, we're still moving *away* from it. People get all worked up about Fukushima and the radiation contamination of the ocean, when realistically it was very minimal, whereas far more contamination has happened from oil tankers, not to mention all the tons of exhaust particulate that land in the ocean and enter the rivers, lakes, and roadsides, etc from ships and vehicles burning petroleum. People tend to be very short-sighted and focus on the big events while ignoring the constant, ongoing, small-scale stuff that adds up to much more.