Is there an app which lets my put photos from my old iphone onto my new iphone easily?

I've recently upgraded from an iphone 4s to an iphone 5s and i want to know if there's an app i can download to easily put photos from my old phone onto my new phone without using my computer as its really slow! Whatsapp won't work on my old phone since the sims got swapped. Thank for the help!

Turn off find iphone app and restore in itunes easiest way

You can backup to itunes and then restore the backup to the new phone, this should install all the apps, saves, images, videos etc.

or install the icloud app, log in and backup to the cloud, you can then backup the phone to icloud and restore.

You don't even need an app, you can activate iCloud on your device and turn it on for photos. The photos will be automatically synced to all devices using the same email or Apple ID, and you can even access your photos on iCloud.com on any computer. As long as iCloud backup is on and you have enough memory to backup all photos, all your photos should be able to be transferred to your new device.

There's an app called dropbox that syncs all the photos and videos on your iphone. You can access them from your new iphone once you download the app or you can through a pc

Itunes does all this for you already!