Restoring from backup

Hello all, long time lurker first time poster here! I hope to be here awhile!

Anyway, I've previously backed up all my iPhone data on my computer. However, once the sixth generation iPhone comes out, I will be on a different computer. So, my question is does iCloud back up things like app progress and MMS/iMessages? Or is there a way to transfer my backup from my old computer to my new one?

All feedback is welcome, but please tell me if you have had first-hand experience of iCloud backups or are just guessing that it should work.

Thank you

 

No one?

Bump