In a brush motor (DC), you have the field poles mounted on the frame and a wound armature whereas a brushless motor (DC) has a permanent magnet rotor and a wound stator. A brushless motor has no brushes to wear and replace and because of the lack of brushes, you can expect to have lower frictional and electrical losses. Also, there is no commutator to wear. Brushless motors offer improved heat dissipation over brush motors since the winding is located on the frame. This creates an additional benefit, that is, the permanent magnet rotor in general is lighter than a wound armature for the same HP rating resulting in less inertia. Brushless motors can deliver a higher peak power output since they are not mechanically limited by the brushes and commutator that, under severe conditions, can create sparking. To sum it up, a brushless design will give you less maintenance and better efficiency but a brush motor often is somewhat cheaper. Also, brushless motors require a drive amplifier to vary winding current based on rotor position feedback.