How do I lighten my hair to blonde and avoid brassiness?

I understand that part of the reason hair turns “brassy” when you are trying to lighten it to brown is that hair has a natural lightening cycle (black to brown to red to orange, etc). Right now, my hair is a (faded) burgandyish color (more of a brown/auburn color now). In December, I want to lighten it to a light blonde color.

I have experience dying my hair from dark to light, but I’m wondering how I can prevent the brassiness. I was wondering if stripping the hair color before dying it with a blonde shade will help prevent this. Should I go with an ash color afterwards? Do you have any other suggestions? (Dying it professionally is not an option)

Thanks for the help!