Using a single MOSFET to switch current direction
If you can lower your 60V requirement to more like 20V and 0.5A, you can look at a motor shield. These implement an H-bridge which gives you optimum control over your motor. Actually it has 4 H-bridges, so you need only a single shield for 4 motors.

There are bound to be other motor shields, maybe some of those have higher output specifications.