Step 1: Don't build nuclear plants in the middle of major cities.
Step 2: Build extremely strong containment. Not that hard, just keep pouring concrete.
Step 3: Be at peace with the fact that even the worst nuclear incident, while harrowing, would not be the end of the world - which fossil fuels literally are. And it's not like fossil fuels are immune to massive eco-disaster failure points. Deepwater Horizon was far more damaging than Chernobyl - millions of animals perished.
Optional Step 4: don't use a reactor design that involves huge piles of flammable radioactive carbon, uncontained - try for something where the reaction stops if anything goes wrong. Then at worst you get a toxic site, instead of vast amounts of atmospheric radiation.