The main concern I'm having is that I played the Beta during the free weekend and went to the moon, so I know I'm eligible for the emblem. However, I did this on the Xbox 360 and I am now working my way to preordering the PS4 Destiny bundle. I understand that so far that getting the emblem has something to do with linking accounts and so far, I've linked my Xbox account and my PSN account (The same one from PS3, which I'm sure can go to PS4). Will I still be getting the Beta emblem?
The only account that you will have your beta emblem on is the one you participated in the beta with. Since you played on Xbox 360, you can use your beta rewards on Xbox 360 and/or Xbox One (as long as you're on the same XBL account).