You cannot stop your thoughts, it's like trying to capture the wind by opening your jacket. The point of meditation that most miss is that it is an experiment rather than a quiet place you're trying to reach. You discover what your emotions are, what you think about, etc. There is no goal other than observation of your mind and to consistently bring your attention back to your breath. The reason you sit and don't move is only to start at the most basic thing you can do, but the point is not the sitting and becoming still, it is to learn how to carry your awareness with you where ever you go and no matter what you do. When you can do this, things change.
To get started I recommend finding a group and going a few times at first to understand good posture and breathing techniques. There is no right way to meditate so which group you join probably doesn't matter. I personally like the methods of Zen or Shambhala.
I have actually managed to meditate for 20-30 minutes first thing every morning for the last 26 days in a row, although over the years I've been practicing on and off. The trick I've found to do it everyday for nearly a month now has been to use some findings in behavioral economics.
The idea is this: come up with a challenge for a month and a small but immediate punishment for yourself if you don't meet it. For example, donating $50 to an organization you hate if you don't meditate when you knew you should've (obviously any real crises are exempt from any skipping). It is amazing how well this works. Suddenly I have 20 minutes at home to just sit down so the Westboro Church doesn't get any of my money.
But to more correctly answer your question, just keeping a routine is enough. We cannot all become monks, but if you can ever get to a place where 20-40 minutes is a daily routine, it will change your life. Feel free to message me if you have any specific questions on books to start with, etc.