As someone who has naturally medium brown hair but has had very light, ash blonde hair for years and years, you just absolutely cannot use a boxed dye/lightener/highlighter etc. to go from any shade of "brown" to any shade of light blonde, least of all very light ash blonde or platinum/silver blonde!!! Just say no!!! Seriously, you have to have it done in stages, as stated above, otherwise you're going to end-up with either orange hair, or gold/yellow hair, or worse, no hair and a burnt scalp! When you're going from dark to light that is this drastic, is you try to do it in one shot it will never make it to light/ash blonde or platinum/silver. And that's exactly it, it just "doesn't make it", lol.
It's a royal pain in the butt the first time you do it, because you have to do it in a salon, and they have to dye it, wait, wash, dry, then dye it, wait, wash, dry, etc., until you get to the shade of blonde/platinum that you want. But after you do it once, it's much, much easier to maintain, but you have to stay on top of it and not let it grow-out, otherwise you have to do it all over again. But it's well worth the time and the money. And honestly, it doesn't cost that much to have it done, you don't have to go to a really expensive salon, any professional stylist can do it, and it should cost around $100 or so, not much more. Well worth it.
As far as doing it at home with the birds, you absolutely do not want to do it inside the house when they are inside, anywhere, as when the chemicals in those boxes/kits are mixed, it's actually ammonia that is released into the air, which is extremely toxic to birds. And even after you wash/rinse your hair after it's done, it's still stinks like ammonia for a good couple of days, whereas if a salon does it, since they aren't using such harsh chemicals with straight ammonia as a product, your hair typically smells much better than it does when using a home kit. But you just cannot expose your birds to ammonia fumes.