CALLING ALL HAIRDRESSERS OR LADIES WHO HAVE TRANSITIONED FROM BROWN TO NATURAL BLONDE

So! From the title I'm guessing you've worked out what this post is about already. 
My hair is mousy brown and I'm looking to transition into a more blonde natural hair colour. But!!! 
I don't want that disgusting yellow straw like hair that seems to happen when people dye there hair blonde I'm not looking for a dramatic change. Just for it to slowly transition and go lighter and lighter. I will post some photos of how I my hair looks and how I want it to look. 
I'm so worried about it destroying my hair and looking absolutely disgusting. Basically what I want to know is how to I avoid the raspy strands and yellow grossness😂 also what do I ask my hairdresser for ?
This is the colour I want 
This is my natural brown hair 

Glow Resources

Let’s Glow

Glow is here for you on your path to pregnancy

Glow helps you navigate your fertility journey with smart tools, personalized insights, and guidance from medical experts who understand what matters most.

25+ million

Users

4.8 stars

200k+ app ratings

20+

Medical advisors