How to restore all my music?

So I'm getting a new iphone an I want to know how do I transfer all my music and apps to the new one from the old one and since all my computers don't work literally they all crash:/ can I just log in to my iCloud account on my new one and sync it from there or will I need a computer too

I used to transfer my data between my iPhone 4 and iPhone 5 with this Phone to Phone transfer, works fairly well, you may give it a trial. Hope it helps. Contact me if you have any other question.