I need advice since I'm a total noob

Anayansi

Hi everyone, I've been considering dying my hair purple. Its something I've always wanted to do and since I'm finally older my parents are more likely to be ok with me doing it.

I want something similar to this but im not at all sure what to call it. Is it tinting? Is it dyeing? Is it highlights? I really don't know much about hair at all. At the moment I think my hair is pretty damaged since I used a box lightener back in March and got a failed perm treatment in October. I'm also considering just doing a big chop since my hair is hip length and has grown out quite a bit since I lightened it and permed it. If anyone has any advice I'd REALLY appreciate it.