Mindfulness meditation has been shown to affect how the brain works and even its structure. People undertaking mindfulness training have shown increased activity in the area of the brain associated with positive emotion – the pre-frontal cortex – which is generally less active in people who are depressed.
Many studies have shown changes in brain wave activity during meditation and researchers have found that areas of the brain linked to emotional regulation are larger in people who have meditated regularly for five years or more. The evidence for different types of mindfulness is promising and research has grown in recent years.
From personal experience I would recommend Headspace. It is an easy introduction into the world of meditation, and begins with just 10 minutes every day.