Using peroxide, make sure you know the percentage.....makes a big difference on how much to use.
Peroxide is sold in three strengths 3%, 6%, 9% to the general public...
I am using 3% solution in these examples... dilute according to the strength you're using....
Peroxide 3% 1 part to 5 parts water for 30 minutes, then rinse...
Peroxide 3% full strength 1-2 minutes, then rinse.....but it will kill any nonvascular plants....
Using H2O2 to clean a tank is safer then bleach....because after exposure to light and air within 24 hours H2O2 turns into H2O (water) where bleach remains bleach....
Be warned....H2O2 will kill all bio matter good and bad, so keep this in mind when cleaning any filter with bio matter(media)....
So next time you need to clean any aquarium items...try peroxide....
Peroxide can be used for many reasons in aqua....wounds on fish, conditioning eggs and more....
But, as with any advice, do your own research.......
Also, as for killing snails or their eggs it depends on treatment and their exposure time to the treatment