How do you replace the headphone socket?

It's a classic story.

A phone is designed for as many uses as possible - aimed at the heavy user, strapped for cash, and can deal with the hustle and bustle of the modern world.

Except it can't. I'm a runner and I use my Moto G for music and GPS. I've found the headphone socket is giving up though, and music can sound distant, garbled, broken, and poor. I wiggle the connector about and it's just not good enough. The sweet spot to make it work isn't easy to find.

I've narrowed the problem down to being a fault with the headphone socket. I know the Moto G was built to be unfriendly to the tinkering user, so how would I go about replacing the headphone socket, or at the very least, stabilising the socket?