Making test site live

Hi

I have a live site at https://www.example.co.uk
I have a test site at https://www.example.co.uk/new

I’d like to make the test site live without having to move things around.

I think I want two things

1) Redirect https://www.example.co.uk/… to https://www.example.co.uk/new/…
2) Rewrite https://www.example.co.uk/new/… to https://www.example.co.uk/…

Can someone point me in the right direction please, any help appreciated, thanks.