@SherryN , hello
There are plants that require filtered water, and plants that don't, I'm not quite sure about mint or basil, I suggest looking that up.
Although, I must say that I personally always use filtered water, on ALL of my plants, no matter if they are vegetables, flowers, tap or filtered water plants, cactuses, or even succulent. Of course, this is my choice.
I have a filter, so it's not a problem and costs me almost nothing. For other people it can be expensive or difficult, that's why I'm not urging you to use only filtered water. Although, must say - If you have a filter or something, filtered water can do only good.
I have been watering all my plants with filtered water since forever and never had any problems with that.
With that said, please don't waste money or time because of me, and if a filter is a problem, just filter the water for the plants that require filtered water, and then for the other ones, use regular tap water. I'm just sharing some thoughts.
Now to the second subject, you wrote "hydroxy peroxide", but I guess you meant hydrogen peroxide, yes?
Anyway, Hydrogen peroxide helps encourage healthy root growth because of the extra oxygen molecule. Oxygen can help plant roots absorb nutrients from the soil. And as a bonus, hydrogen peroxide can help discourage unwanted bacteria/fungi that may be lurking in the garden. Although remember that almost anything in large quantities can be harmful, even this, so be careful.
I'll be honest, even if the soil has enough oxygen (You can check that using a variety of instruments and analyzers), I think you can add a bit, it can only help the plat. BUT! before that, check the plant's soil, (maybe there is no need to add anything), check the plant for what specific soil is better, and of course, do not use too much hydroxy peroxide, this can kill your plant.
Here's an article I found about hydrogen peroxide usage, maybe you'll find it helpful:
Using hydrogen peroxide for plants may not be the magic bullet in the garden that we’ve been led to believe.
www.gardeningknowhow.com
Good luck.