You want RAID 10 - most modern controllers support it. It would create a pair of 2TB RAID 0 arrays, and then create a RAID 1 array with the RAID 0 arrays for a total of 2 TB of fully redundant space.
I usually don't get very fancy with RAID arrays, most of the time I'm using 0, 1, or 5 in my builds. I've never used a raid 0 + 1 or a RAID 10 before, just read a little on 0 + 1 back when I first learned about RAID arrays in general. how are they different?