About to bleach and dye my hair?

So I am planning on bleaching and dying my hair today. I have a couple of questions from anyone who has experience themselves or professionally. I am only doing this to the underneath of my hair so the top will stay the same. I am bleaching it and dying it purple, I know that bleaching dark brown hair can result in a red/orange tone, is there ways to prevent that and/or will it really affect the purple color I will add on top? I’m planning on adding a dark purple. Any tips or advice?
About to bleach and dye my hair?
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