How to go from dark brown to deep red without bleach?

Hey. My hair is naturally dark brown and i coloured it recently with a permenant cherry colour. It looks okay and it is noticeable but looks more like plum than my intended colour. I was considering going for a brighter shade of red but i do not wish to pre-lighten/bleach my hair. Any tips on how to get a deep red colour thats not to in your face and how to do it so my hair does not need to be bleached?

How to go from dark brown to deep red without bleach?
LET YOUR HAIR GROW PUT SOME THAT WAY THE COLOR U PUT ON WILL LIGHTIN UP AS THE DAYS GO BY AND AS YOU WASH YOUR HAIR AND THE SUN WILL LIGHTIN IT UP TO. THEN GO BUY THE KIT YOU WANT AND THEN DYE IT. THE CHERRY WILL MAKE YOUR HAIR A DEEP RED CAUSE IT IS ALREADY A DEEP BROWN. IF U GET A BURGENDY IT MIGHT TURN THE RED U WANT. BUT DO NOT GET TROPIC BURGENDY IS A DEEP DARK BURGENDY BUT IN THE SUN LIGHT IT HAS A PURPLE TINT TO IT. I HOPE MY ANSWER HELPS YOU.