Oxygenating your reservoir is one benefit of H2O2 but it won't make a big difference in your yields. The main reason for using it is to disinfect your reservoir. Go to your local hydro store and get the commercial grade stuff that's 33-35% H2O2 and use it at a rate of 2-5ml per gallon to disinfect and kill algae and pathogens.
It might temporarily mess with your pH so don't use it less than 30 mins before the first feeding. It will bubble so if you have continuous measuring meters you'll want to shake em to get the bubbles out and get correct readings.
Personally, I think the stuff is great, especially if you're res is warmer than it should be.