The effects of H2o2 (hydrogen peroxide) with oils

I have some 35% $\ce{H2O2}$ that I've been cutting down to 3% to create a product. Cheaper than buying pre cut solution from store.

However, I've been thinking about trying to try it out with producing a new product which would induce mixing of the $\ce{H2O2}$ with pure oils and essential oils. I am not sure if the $\ce{H2O2}$ would break down the oils and render them useless in the product or not.

I select $\ce{H2O2}$ cause I want it to be able to kill germs to help kill a particular smell. But I want the oils to maintain their properties in which they keep there defined smells. So pretty much the $\ce{H2O2}$ is a catalyst to make to oils more liquidity able to spray and also helping hide original scent.