A useful brewing choice begins with the day you expect the device to fit into. Someone preparing several cups before work has different needs from someone who enjoys a deliberate single-cup ritual. The main question is not which method sounds most sophisticated, but which process you can use consistently and enjoy maintaining.
Automatic drip puts much of the water delivery under machine control. Pour-over leaves that delivery to the person holding the kettle. French press uses steeping followed by a mesh filter, while espresso concentrates the process into a small pressure-brewed serving. Cold brew changes the temperature and planning involved. These are different workflows, not a reliable ranking from ordinary to excellent.
Compare the amount you normally serve, the texture you prefer, access to suitable filters and the cleaning required afterward. A scale and a record of coffee and water quantities can make many methods easier to repeat without a large equipment collection. Once you have a workable baseline, change one variable at a time. That makes a new brewer an informed choice rather than a purchase made to solve every uncertain cup.

The conversation
A good question can make a better brew.