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Coming from Blackberry I am very spoiled when it comes to having all my stuff backed up.
Here is what I need backed up...
TEXTS/SMS
CONTACTS
APPS/APPDATA
CALENDAR
What program would be the best for all that?
Calendar and contacts can be through gmail, which is automatic with the phone. Astro file will backup all you apps as well as appbrain(both in the market). As far as texts, I haven't had a reason to save them so I can't help you on that. There are other routes but this is mine and works fine.

I've heard multiple times that you can restore all of your apps using AppBrain, so I had it installed and synched before I did a factory restore. When I re-installed AppBrain after the restore it kept creating a new list of apps which were currently on, but I could still see the other list. For the life of me, I couldn't figure out how to just have it download all of my previous apps, so i just used the list as a reference and downloaded them one at a time. I originally tried just deleting the current list in hopes that it would sync to the existing one but no luck. If there is a way, I'd love to know it for reference.. maybe I just missed something obvious.
Why do you guys prefer MyBackup over Titanium? Just curious.
I don't. I prefer titanium, but it's for rooted users. IMO MyBackup is the best option for non root.
Why do you guys prefer MyBackup over Titanium? Just curious.
Titanium is free which is a huge plus obviously. I like MyBackup because it backs up everything to the cloud as well as your SD card. If you drop your phone off a bridge, Titanium does you no good because the backup is on your sd card which is also swimming at the bottom of the bay. I can get my replacement phone and do a restore from MyBackup and be good to go. I'll have to re-download all my apps, but you'd have to do that if you were using Titanium anyway. (All this assumes you're not copying your backups to the hard drive of your computer of course.) Honestly, though for a rooted phone, Nandroid is far and away the best although it's not the most convenient to use and generates huge backup files comparatively.
The online storage option is definitely a plus of MyBackup. The plus side of Titanium over MyBackup, is the granular control that you have over what get's backed up/restored. You can schedule multiple backup jobs to do only certain functionality like backup new apps/versions. You also have complete control of the content of your backups you've already taken, so you can easily remove certain apps from your existing backups and things like that.
Nandroid is a completely different solution, and would do no good on it's own, unless you were taking them daily, else all your data would be stale.