I would not suggest doing it yourself.
For a bright red color like that, no matter the brand, they will all wash out. They are usually vegetable based dyes, and more so "stain" the hair. Because of the porousness of bleached hair, and the fact that, no matter the dye, red fades like a bit, and the fact that its an unnatural color, it will fade, and unfortunately, that's life. My best suggestion would be to get it done at a salon, with a perm. color (that more often than not, only stylists have access to, and to be honest, i would only trust them to use) and then touch up, at your leisure at home with manic panic.
At home, do wash with cold water, with a sulfate free shampoo (and free of sulfate derivatives), and do a color restore mask. you can even buy a conditioning mask and mix in some manic panic! Works great!!
good luck.