What are the concerns when converting single-ended signals into differential?
Yes, you can.
Ability to drive capacitive load stably, Low Offset Voltage, High common mode rejection, High power supply rejection, High input impedance, High gain bandwidth, the usual suspects (but in the order that would be the most important) Feedback resister should likely be in the 1kΩ-10kΩ, any higher and you get "Johnson noise" any lower and you get excessive current drawn away from the node (rule of thumb is to pick it so the resister ladder for feedback only consumes 1/10th of the max output current)
Benefits of differential op-amp for single to differential conversion: Don't have to worry about mismatch from two different input offsets (each single-ended op amp will have it's own different input offset), I'm sure there are others but I can't think of them.