Bleach (sodium hypochlorite) > H202 (hydrogen peroxide)
Bleach is both safer to use and harder to overdo with longer sterilizing and cleaning effect. The sodium part is minute compared to the hypochlorite side of the molecule and the application rate is extremely low hence no Sodium to cause any plant related problems, arguably only positive.
There's many chlorine based commercial product marketed towards growers like "Pyth Off" or "Silver bullet", all of them containing hypochlorous acid, the same active compound found in bleach.
If you go the chlorine route I have the dilution calculator with recommendations in my signature.
All the best of luck!
Cheers!