If you hair is heavily bleached I would not recommend a perm. If you still really wanted to try one, I would go to a hairdresser. Processed hair will take to a perm differently than unprocessed hair, and the effects can be extremely damaging. Definitely not something you want to mess with at home, as the nature of the perm is damaging, just as bleaching the hair is. A poorly performed permanent wave will result in breakage of the disulfide bonds through chemical reduction, because it fails to fix the newly formed bonds. This results in hair that is no longer elastic and flexible, but brittle and fragile. At that point, even combing the hair will result in hair loss.
My hair is only highlighted and every hairdresser I have been to refuses to perm it, saying that it will leave my hair a dry, frizzy mess; if a professional advises against it, I wouldn't want to mess with trying a perm at home!
As for the home perms, they have been around for a long time (starting with the Toni home permanent in the 1950s.) My mom used to perm her aunt's hair, in fact. Regardless, even if your hair is permed you still need to set it to achieve the right curl--so it wouldn't completely eliminate that step.