I would avoid using any reference to relocating the piping and instead refer to “extending the connection”. That way you are not changing the plumbing. You might even add that the existing plumbing will not be affected and that this will only be an external connection.
BTW, having recently read a report about the effect of internal gas burners on general health, especially of children, and with the environment in mind, I will be going for an electrical induction stovetop in my next kitchen reno. May be worth considering before you commit.