robyc:
Do you have further details on what kind of half H bridge might be needed and where I can get more info?
The H-bridge is nothing special. The point of an H-bridge is to be able to drive current "both ways" into an output, that's it.
The Arduino can drive as many H-bridges as you have wires to hook up, but there may not be a library that can drive the particular device you want to drive. What you will need is different software, because the driving pattern of a three-phase motor is different from a two-phase (at a minimum, you're using 6 output wires instead of 4 
At 37 Ohms, I would guess that those motors are 12V, 1/3A. But they could be 5V, 0.15A. Or anything else If you start with 12V, and run them for a little bit, you can see if they get extremely hot -- if so, immediately lower the voltage. Running a motor "too hot" for a little while usually isn't bad, it's when you get them too hot that they start failing.