RAIDs are a file-writing-and-reading system. Fairly base-level operations to a hard-drive.
There are perhaps migration levels from one RAID to another but I've never seen a good one. I never even try. When I want a 'migrate', I accept that I'm wiping out and starting from scratch. That's the approach I'd have you consider.
You said that you've got 2tb of files, yes? So all of that COULD fit onto a single 3Tb disk, yes?
Your existing HDDs - the old ones - are worthless to use during this process because they're already RAID'd. I assume you've got one more SATA connector available on your motherboard, and then I'd install a new HDD and copy all 2Tb of files to that one.
Then disconnect/remove it. This is your "File Bearing HDD" from now on.
Then, install the 2nd New HDD and now you've got 3 installed.
You can wipe out the first two, and create the new RAID5 array across 3 disks.
Once that's done, reconnect the other new HDD - the one with all your files - and copy those files onto the RAID5 arrive - those 3 HDDs.
Once that's done, disconnect that File-Bearing HDD. Now, spend some days with your RAID5. Check it out, make sure it performs. You may want to commit some bad behaviors - disconnect power a few times. See how YOUR misbehavior translates into the RAID. Have you corrupted it? WHO CARES?!! Because you've still got that File-Bearing HDD there with all the backups! You just need to assure yourself of what's likely going to happen during power-outages and any other 'bad behavior' you might inflict on this PC.
Once you're happy with the RAID5 performance, now you can add that last new HDD (the File Bearing one) to that RAID5. This will wipe it out, by the way. And this will take some time - count on a day, maybe overnight and a day. Just let it sit there and come back in two days and test it again. (Not that there's anything you can do about it - all of your backups are gone!)
But you'll end up with a 4-drive RAID5. With a capacity of 3.
Now, if I wanted to be safe, I wouldn't buy 2 HDDs. I'd buy 3. And that extra one would be my "File Bearing HDD" for weeks and months - maybe forever. Because if one of those new HDDs fails - or one of the old ones - then I'd have a Truly Model 'cold drive' as a replacement. (RAID drive fails can happen over time, yes, but usually they'll fail early in their 'life' - within days or weeks.) As for RAID cards, if you want good ones, think "$300+" and if that's not palatable, try the motherboard's version - I assume that's what you're using for your current RAID.
There's also a great comfort in additional backups, though.