From the 7344's perspective, in open loop stepper mode, the only necessary outputs are the pulse train for steps and a TTL flag for direction. You can also set it for CW/CCW mode, which will output two separate pulse trains: one for clockwise motion, one for counter-clockwise motion.
If you only need to decode the signals into four phases and not amplify them above 5V, then a small IC might work for you (as long as you don't need a lot of current). A reconfigurable FPGA could be programmed to decode the incoming signal and output the four phases pretty easily. However, I honestly believe your best bet is just to buy a recommended amplifier for the motors.
Good Luck
Kyle V
Applications Engineer
National Instruments