There's a chance this will be a bit confusing, so try and follow me here ^_^;
I transferred my data from my broken fat PS3 to my new Slim PS3, but only the data that had been saved up to the Leerdammer update got moved over. My Slim PS3 does have the Game Data from the most recent profile I'd been using on my old system, but instead of carrying on with that profile's data, the Slim PS3 created a new LBP profile in its Game Data Utility. It was as though I had just downloaded Leerdammer the moment I booted up LBP on my Slim. I may have backed up my profile when I downloaded Leerdammer on my old PS3 (just to test the new backup feature), but all profile data (levels, objects, costumes, etc) after this supposed test backup did not transfer. I may just need to go into my old PS3's Game Data and back that up, then do another data transfer. *shrugs*
Whatever the case, my Slim PS3 seems to be ignoring my old PS3's LBP profile in favor of a new one. It could be worse, though: the transfer could've forced me to start over in LBP, completely from scratch.
:p
I don't know if data in the Game Data Utility can be saved onto a USB stick or not (as far as I'm aware, only Save Data can be moved onto a stick). If it can, then my problem is simply buying a few USB sticks and downloading the Game Data onto them. If not, then I may have to send my old system to Sony (or somewhere reputable enough) to fix the Blu-ray drive. My PS3 is well out of warranty, so sending it to Sony is probably not a good option. Plus, there's the risk they'll fix the system, but wipe the data off completely, causing a new problem after solving my current problem.
Once I figure all this out, I'm going to make sure all my data is properly transferred over, then wipe my fat PS3 clean and sell the ******* thing >_>
Shout-outs go to Syroc, CCubbage and Sehven: You guys come highly recommended (by other members) for fixing problems like mine, so if you find this thread, please provide all the advice you can.
If there are others who have had similar issues with the new Data Transfer Utility and have any helpful information for me, as well, it would be much appreciated. I would turn to other sources of information about my problem, but since it's closely related to LittleBigPlanet, I figure LBPC will be of greater help.
:)
Also, feel free to tell me how dense I might actually be for not being able to see the solution myself.

