In case anyone else wants this information, if you go to Motorola you'll be directed to SBE repairs (http://sbeglobalservice.com/uk/), who will charge £71.40 for an out of warranty screen repair.

I just bought a new Moto G. Doesn't seem to be worth all the hassle for a replacement considering the phone's so cheap.

Hi kathryn. A similar question has already been answered. See link below.

Link: If you have problems with the Motorola Moto G, where can you go for support, replacement or repairs?