best purple shampoo reccs!

hello! just recently bleached my hair and its at a sort of brassy blonde right now. i made another appt about a month from now to lighten it up some more because its not as light as i would like and so i would also like to ask everyone's favorite purple shampoos and conditioners that i can use until my next appt and also after! i already did do some research and i saw fanola no yellow and amika purple come up a lot so if anyone uses those i would also like to know how it went for you.

side note: my regular shampoo is head and shoulders, will that affect the tone and color of my hair pretty drastically or could i use it still when i need to? if it helps, i have sort of thick and straight asian hair.

thanks in advance for the advice!