I've read that some people recommend buying a shower filter, which I will admit, I have not yet tried. However, I did lessen the frequency of when I wash my hair. I wash it two to three times a week, at most. I use Hydrate My Hair Shampoo (£17) and Conditioner (£17) and Keep My Colour Treatment (£19), all by Eleven Australia (per my colourist's recommendation). They're paraben-free and SLS-free, which is a bonus and won't dry out your hair.
For drying, I stopped using a towel, since my hair was definitely a lot more delicate when wet after going platinum. Instead, I use a cotton shirt and lightly pat it. In the mornings, when in a rush, I'll do a light, cool blow dry and gently use a comb.
Image Source: POPSUGAR Photography / Zack Peter