Brushed motor simply mean it uses brushes in the motor.
That is the brushes use in normal DC motor.
DC gear means it come with gear attached and is DC current
So most of the motor in the market is DC brushed because it is cheap and easy to use. Those that come with gear attached normally we call it DC gear.
It depends on your design. No one cannot give you exact answer on that! If your pulling wheel or mechanism is big or large diameter..... most likely cannot.