You can setup OneDrive on your HTC and sync all your pictures/documents to the cloud. Then setting up that same account on your SGS4 to import them.
How do you have your music stored? Is it only on the phone? I think you'll have to sync your Trophy to your pc for music, then sync that music from the pc to the new Samsung.
I had the music stored onmy laptop as well, but I lost it all when I
upgraded from Windows XP to Windows 7.0. It does not recognize the phone
when I connect it. Also, I misplaced my usb drive.
Thanks for your help!