You can go into > This PC/My Computer > Documents and then copy it's entire contents to a flash drive to then copy back over once the new hard drive is installed. All saves and other files for games are stored here, but to not complicate things by entering folders you can just copy everything along with your other documents and then copy it over to the empty Documents folder once you load Windows back onto the new drive. If all of your games are currently fitting on only a 250GB SSD, then I wouldn't complicate things. Just re-install them all onto the new drive, it shouldn't take that long. My second drive has 180 GB of space used right now, probably quite similar to your game data considering your SSD size, and I only have 21 of 56 games installed. This took me 3 or 4 days and I was playing only one game the whole time so it's not like I was in a hurry for them all to get installed. On an observational note, a 1TB hard drive sounds small for a PC gamer, considering that all PC games have to be installed, unlike console ones, but that's just me. I have a 2TB at the moment and that should last me a while. If I eventually manage to fill that thing up with games, then that would be something to worry about as far as not wanting to re-install them all lol.
As far as your mods, sorry, I don't have enough experience with mods to assist you there.
As for setting up your second drive for game installations, (in case you didn't know) Steam is set up with the intention of installing games on different drives. Enter your secondary drive from windows explorer and create a folder called Steam under that drive extension (mine is E:.) All you have to do from here is, on Steam, go to Steam > Settings > Downloads > Steam Library Folders. Choose your secondary drive and then the folder you just created and select Add Library Folder. Make sure that there are no games currently installing or you will get an error message. If this is the case then just pause them and try again. After the new library folder is created, you will get a drop-down menu during any further game installation. Simply choose the secondary drive each time you install something and continue.
Edit: Just re-read and noticed you said 1TB SSD, not HDD. While I find that extremely unnecessary (because those things sale retail for $400+ and you could easily get a second video card or an upgrade for not much more than that) and your games really won't load much faster than with a high performance HDD, more power to you I guess. That's pretty cool and I'd love one, but I wouldn't buy one. There are certain games that I installed onto the same SSD as my OS, just because I knew that there could actually be a significant difference. These were of course MMO games that usually have long load times for new areas or games to start, such as Final Fantasy XIV: ARR or League of Legends.
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