Choosing between a clock with a mechanical movement and a clock with a battery-powered quartz movement is a little like choosing between a manual transmission and an automatic transmission. The Mechanical clock requires periodic winding while the quartz movement requires no winding. Both options offer distinct advantages and disadvantages, but in the end, the decision comes down to personal preference.
For some winding a clock is enjoyable, they love engaging with the inner workings of the clock and hearing the clicking sound of the gears as they turn back the key. They may even feel a particular antique/historical connection with the piece. Most enjoy letting the clock run on its own, free of responsibility! Mechanical movements require routine maintenance, including cleaning and oiling around once every five years. Battery powered clocks are generally maintenance free, apart from the need to replace the batteries once every couple of years.
Different mechanical clocks have different winding requirements; some clocks have a single winder 14-day key wound movement. Clocks that contain a 4/4 Westminster chime or a triple chime movement have three separate winders. The center is for timekeeping, the right is for the quarter hour chime, and the left winder is for the hour-strike. For the best performance, it is best to wind these clocks every 7-8 days fully.