If the hairdresser does the stripping, it will be stripping and not colour removal. As you're in the U.K. you have a lot more options (for once!). There's a lot of good brands. I like decolour remover by Scott Cornwall, but it is one of the pricier ones. I used one recently that was pretty good, I think it was called 'colourless'.
I have to say though, it's not a bright copper at all. It is more of a warm brown! Fair enough if you want rid of the warm tones now, but I was expecting some super bright orange and I thought I had got my threads mixed up or something. And for what it's worth, copper hair looks stunning on pale skin. It's either that your skin tone (if it's yellow or pink timed) doesn't go with it, or as is very often the case, you just aren't used to it yet.