Welcome to Just Commodores, a site specifically designed for all people who share the same passion as yourself.
Must be some pretty important "stuff" on your phone you don't want people seeing eh?
Well I was about to write up some laborious, complex 'how to' on fastboot and live recovery to use adb until a colleague mentioned an app called Droid Screen, looks pretty cool. Naturally with a Google I found this: Broken Samsung Galaxy S4 Screen - how to retrieve data? - Android Forums at AndroidCentral.com Same principles should apply to yours.
Give that a crack first, it's been a long week and I'd really like to drink beer and watch Star Trek TNG re-runs in my trunks tonight