How to transfer contacts to new iphone?

My aunt had an iphone4 and I've backed up the icloud storage and back up.

She now has the iphone5c and wants everything from the 4 on it like contacts and photos. She has been using the 5 for months now and has new photos and apps on it. How can I get the 4 information on the 5 without losing the new photos, apps and contacts on the 5?

You need two apps 1) contacts kit 2) dropbox in both of your fones. You can download them from the app store

Back up your contacts using contacts kit, its available on app store. Upload the backed up contacts on dropbox, you need a dropbox account to upload. The upload option is in the contacts kit app so its easy.
Then log in dropbox in your new fone. Open contacts kit app in your new fone download the backed up contact. Import the contacts. Close the app. Check your contacts. Done

Download the iphone transfer program and then make your devices connected to computer(both iPhone 5c and iPhone 4) then click files to transfer between them as you like.