Hey there! Sorry for the lack of reply, I was asleep. (European Time

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I can record some footage of large scale battles no problem, but atm my console has been shut off for the night so I'm going to make it sweat a bit and then upload some footage to show what it looks like "stressed".
Transferring your saved games is a cinch. In your XMB (Cross Media Bar, that's the PlayStations "home screen" as it were) head all the way to the left to all the settings and update menus and locate System Settings. Inside that menu you have a Backup tool. This will backup the entire hard drive to an external USB unit (attached via cable. This also copies any game data, PSN titles or such you might have on it). Confirm and let it copy. This will take a few hours so go have a coffee or play some WoW or smth to pass the large amount of time it needs. After this is done, click on your trophy collection as if you were browsing it, this "synchronizes" the trophies to the PSN, backing them up.
Once it's done and SUCCESSFUL (if it fails, try again), just change the hard drive (it's really easy and you don't need to disassemble your PS3 at all, just open a hatch on the side, there's plenty of youtube videos covering how you do this) and boot up the PS3. It's going to recognize the new drive and want to format it. MAKE IT SO *queue Star Trek music*.
Now you'll be in a PS3 that has your user accounts and PSN details and trophies when you perform the next sync, but no data. Just head back to the System Settings and the Backup Tool. Now you want to RESTORE from backup. This should be much quicker than making the actual backup but still take an hour or so for most PS3s. It will take longer if you have 500 gigs of data in there or something. Once that's done the PS3 will behave just like it did before you swapped the drive out, having restored all the game data and save data to the moment when you backed it up.
EDIT: Might as well add this in. If you're impatient and just want to back the save games up, you can do so in the save data utility. There's a tutorial for both a full backup and the save data utility on this site: http://www.makeuseof.com/tag/how-to-back-up-and-import-ps3-game-saves/ I'd suggest the full backup personally, since you wont have to reinstall all the game data for your games again, but that's just me. There won't be an issue with copying your saves to an USB drive and back (due to copyright saves and whatnot) as long as it is to the SAME USER ON THE SAME PS3. The game will go bat[censored] at you otherwise since it thinks you are cheating it out of trophies or something.