How to kill mold?

Hydrogen peroxide will kill all mold/mildew & gets rids of blood stains. The vinegar may clean your shower curtain, but the mildew will come back quicker. I use vinegar for all my laundry. It helps keeps white linens white, sheets, towels & socks, etc. It also is a fabric softener. Plus, I clean with it. I am 75 years old. Vinegar was the one thing we had to use growing up, besides bleach. Lol We did not have hair conditioning as you do today. We filled a large glass with warm water an put in a little vinegar & pored it over our hair. Wonderful conditioner. Makes your hair silky. No smell.

My shower curtains go in the washing machine - where I use vinegar in the wash and rinse.

If vinegar doesn't work, if applied properly, then the pros need to be called in as the infestation is most likely extensive and requires professional remediation.

Mold is not an issue where I live as I have windows in my bathrooms along with exhaust fans. It is also scorching hot with very low humidity, typically less than 10% in summer.

If hydrogen peroxide worked for you, great!