Transfer from iphone 3gs to iphone 5?

Hi. I wanted to know if there's a way to transfer my music and videos from my iphone 3gs to my iphone 5 without deleting any data or information from my iphone 5. I have tried everything but can't seem to find how to transfer my music and videos to my iphone 5. Please let me know what's a possible solution for this or how to do it. I would really appreciate it.

Sync your 3GS music/videos to iTunes then plug in your iPhone 5 and sync just the music/videos and you won't lose any information.

Yep

do the same

Sync your iphone 3GS music/videos to iTunes then plug in your iPhone 5 and sync just the music/videos and you won't lose any information

Well assuming you have the media on iTunes on a computer, simply transfer them using that.

That's what I did when I updated from an iPhone to an iPhone 4 & again from an iPhone 4 to an iPhone 5.