For driving high-power DC motors, brushed motors need a DC-DC converter. Buck, boost, and half-bridge can be used, as long as it is a DC voltage that can regulate the voltage. Even 220V-> adjustable transformer-> rectifier will do.
The 500W motor is really a small motor, not a high power, so you can control the speed only by regulating the voltage. Generally, the speed bandwidth can be adjusted in a few seconds.
Of course, if it is more than 5kW, or if you need torque control, then you have to control the current. The current control is a little more complicated, but the response is fast, and the torque adjustment takes only a few milliseconds. If the speed is adjusted, the bandwidth is tens of milliseconds. Buy a 90 horizontal DC geared motor
Brushless motors are much more complicated. Generally, at least a three-phase h-bridge is required. The control is divided into sensored control and sensorless control. With sensor control, the position of the rotor is measured by the sensor, and then the corresponding square wave voltage is applied to the stator. But the sensors are expensive, maybe not much cheaper than your motor.
Sensorless control requires a control algorithm to estimate the rotor position from the voltage on the idle stator windings. The corresponding accessories are also important, what is the role of the high-power DC motor base
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