Droid X Backing Up Files

So I get my new Samsung Galaxy S3 and can finally trash this nasty Droid X. But first I would like to backup my contact, music, and videos. I don't want all the apps, just that information. I tried using the backup assistant on my phone and it tells me that I've backed up too much but when I check how much I have in my cloud storage, it says 0% full... which is frustrating. So is there a way to fix this or back up my data a different way so that I can get those certain files on my new phone?