I did this myself for my Nokia Lumia 920. Same fault - the glass cracked but the digitizer and display were fine. Hair dryer, tweezers and a ton of patience. It took me four hours though, but it was a complete success.
If you're planning on doing this yourself, don't be tempted to buy an unbranded replacement - they may be fakes or poor quality reproductions (not gorilla glass, digitizer inaccurate, etc.) - My phone was a developer device but I replaced the screen with an AT&T branded one. The branded screens are usually genuine.