Honestly, the problem can be easily solved. What you need is an app which can help you backup your data with iTunes. That is iPhone Data Recovery, a worth-recommended software for iPhone users to get lost data back.
iPhone Data Recovery enables you to preview and restore the backup file, no matter which version of iPhone are you using, iPhone 6 Plus, iPhone 6, iPhone 5s, iPhone 5 or the previous generation, you can restore whatever you want with the help of iTunes backup files.
Here, you can download the trial version below to try it on your own.

Let's read carefully the following steps to learn how to restore iPhone from iTunes Backup Files with iPhone Data Recovery (Mac).
How to restore iPhone from Previous Backup?
• Step 1: Install and Launch the Program
Download the iPhone Data Recovery on computer and run it immediate. Please don't connect your iPhone with iTunes before recovery. Then the main interface will pop up and show 3 modes to restore iPhone. Click the second mode of "Recover from iTunes Backup File".

• Step 2: Choose the iTunes Backup Files
All of the iTunes backup files on computer will be detected, find the latest one which is about your iPhone according to the name, last backup time or serial number. After that, click "Start Scan" button to search the related data from this iTunes backup file.

• Step 3: Recover Files from Backup Files
After a short time, the data from backup file will be listed on the left column, such as photos, videos, songs, contacts, messages, call history, notes and more. You could choose any option and then choose the related files on the right side. When you confirm the lost data, then click "Recover" and find a storage path on computer to save the deleted data.

There are also other two way to find your lost iPhone data back by iPhone Data Recovery. The first one is "Recover from iOS Device" which you need to connect your iPhone with computer. and the other one is "Recover from iCloud Backup File" that you could sign in to iCloud with Apple ID to restore your deleted files.
What are you still hesitating for? Download one to try how much it can help you!

Extended Tips: How to Convert BlackBerry Backup to an iPhone
BlackBerry users switching to an iPhone can move their contacts without having to manually key them into the phone. Moving the old contact data information from the BlackBerry to the iPhone is a two step process. The data must be extracted and saved from the BlackBerry. Once this process is completed, the data must be uploaded to the iPhone. While this process may seem intimidating, converting the BlackBerry backup to the iPhone is actually simple.Related Guides & Articles
• How to Recover Deleted Files from iPad
• How to Restore iPhone from older Backup
• How to Recover Deleted Call History on iPhone

