Personally, I don't use Mi Mover. But IIRC, some people says that Mi Mover is si bei ho.
If you are switching from another Android phone :
1. Contacts - Don't need to backup, once you sign in with the same Gmail, all the contacts will be restored.
2. Call logs & SMS - Use this :
https://play.google.com/store/apps/details?id=com.softrelay.calllogsmsbackup&hl=en
Can backup call logs & SMS to your Gmail Google Drive
3. For pictures and videos - If they are stored on microSD card, then just switched over can liao.
4. Whatsapp
a) Copy the entire "Whatsapp" folder from your phone to microSD card.
b) Put the microSD card to the new phone.
c) Copy the "Whatsapp" folder from the microSD card to your new phone's root.
d) Go to "Whatsapp" folder (on your new phone), then to "Databases" and delete all the files there and leave ONLY a file name "msgstore.db.crypt12".
* MUST DO this step, if not you will lose some chat in your history.
d) Install Whatsapp and you'll be prompted that backup is found, just restore and all everything will be exactly like in your old phone.
Hope this helps.