Meditating and cleaning your mind are the same things.
Cleaning your mind begins with meditation and continues till your mind is perfectly clean.
A perfectly clean mind is also ‘No Mind’. In yoga, it is referred to as Samadhi.
However, before even talking about Samadhi, one must start meditating.
First steps in meditation are like starting any other practice. When you start, your mind is restless. You are not able to do more than five or ten minutes.
Slowly, you learn to sit in silence and you are able to sit a bit longer. The mind is still not calm, though relatively better than at the start.
In this state, you experience unhindered thought. One thought leads to the other in rapid succession. The mind wanders. All efforts to clam the mind and free it from random thoughts, fail. Here, just let the thoughts flow. Don’t oppose them, don’t stop them. Even if you stop them forcibly for a while, they will bounce back with as great intensity as that of water that breaks a large dam. The result is flooding and devastation. But continue the practice. Have faith and go on.
Even if your minds is not free of thoughts, it is slowly getting disciplined. The thoughts are slowing down. The clutter in the mind, that manifests itself in our life, is decreasing. The mind it getting more organised.
After a few months of regular practice, you start getting the glimpses of peace and joy. Nano-seconds of no-thought. These install great amount of peace and happiness in your life.
Slowly, nano-seconds grow to micro, then milli and then full seconds. This is where most practitioners of meditation are. While we are busy in hum-drum of life, these are precious seconds. Grab them. Hold them. Enjoy them. The peace experienced during these moments extends to rest of the day as well but decays slowly until you re-inforce again.
The idea is to grow these seconds of no-thought into minutes and if possible into hours. How soon you reach there is entirely your decision.
So, start NOW!