I'm all for alternative sources of energy (including nuclear) but I feel like generating and storing nuclear waste for future generations parallels how coal/oil

I'm all for alternative sources of energy (including nuclear) but I feel like generating and storing nuclear waste for future generations parallels how coal/oil/gas/etc. ruined the environment that our current generation has. What are some points that I could use to differentiate the two ideas? e.g. - not enough waste to be an issue - waste is properly secured so won't be an issue - less impact than coal/oil/gas