I just bought my AT&T H900 and was looking into rooting to (1) remove unwanted apps and (2) using Titanium Backup (back up apps) and Nandroid Backup (general backup).
As rooting is not currently an option due to bootloader being fully locked down, are there ways for me to remove apps and backup?
You can go into Settings/Apps, and Disable the ones you don't want to run and won't even be visible. I don't recommend uninstalling any (even if you can) this could break OTA updates. You can always re-enable them if you go a little crazy and break something, or want to OTA Update the device
Titanium and Nandroid both require Root, and I believe Nandroid requires an unlocked bootloader. So until the magic happens, you can't use either of those methods of backup.
For me, since there are currently no ROM's to install. I don't have a need to create any backups of my apps that are installed, and the same goes for the need for any Nandroid (even more so)
I believe you can, however do a complete system backup/restore using ADB. There are complications to using ABD, it's not NEAR as easy as booting to CWM and doing a couple clicks/done
You could take a look at an app called Helium. It's for app backup, I don't use it so I can't give any 1st hand experience