How to transfer apps to my new iPhone from my old iPhone?

I have recently purchased a new iPhone 6 and want to get my apps on the new phone. I also want the apps to keep the memory that is on them, such as pictures or music. Is there any way that I can do that or do I have to manually re download everything?

You can't transfer unless you on android.

Sorry, it's not possible with iOS. However, you should take some screenshots of the apps you have, upload them to iCloud or something, and then manually reinstall them in the 6.

Backup the old
Restore from that backup on the new

using iTunes and or iCloud

Log into the same Apple ID account, click on App Store, then go to Purchased, and the ones with the iCloud symbol are the ones that you've downloaded and MAY have delete them also if you didn't like it.

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