My hair is virgin and a dirty blonde colour. I wanted to go a deep cherry red, but I didn't want it to turn out bright red by accident. I don't have the money to go to a salon. Any recommendations on dye?

I'm Australian by the way so something I could get here

Sorry, but I wouldn't even consider recommending something so personal as a hair dye to use to achieve a specific colour. If you want a specific colour and have it come out correct, then you are going to have to find the money for a salon treatment.