I've been meditation with varying degrees of consistency the past two years and it's helped me tremendously to easy my anxiety. You don't really need to take a course, there are great apps to help you get started. My favorite one is Insight Timer, available for both IOS and Iphone. Me and my girlfriend use it all the time. One which is more popular which you might want to check out is Headspace. The 10 day challenge is perfect to get you started, and I would actually recommend anybody who never meditated to start with that. But if you want to continue, you have to pay for the app. Insight Timer has a free version and there are loads of guided meditations on there too from lots of different teachers. In the beginning I found it easier to meditate with guided meditations, but now I mostly just sit in silence.
I would also strongly recommend this book:
http://www.amazon.com/The-Mindful-Way-T ... 1593851286
Another book which I've heard nothing but great things about is this one:
http://www.amazon.com/Radical-Acceptanc ... 0553380990 I haven't read this one myself so I can't personally vouch for it, but Tara Brach is one of my favorite guided meditation teachers - you'll find lots of guided meditations by her on Insight Timer. She also has a podcast which I wholeheartedly recommend.
One final thing I'd mention about meditation is that it will take a week or two or maybe even longer before you will feel any changes in your mental state. In the beginning it might even be uncomfortable, but just hang on there and don't give up if you feel that "it's not working", because if you keep doing it consistently it will change your life. Guaranteed. But it takes practice to learn how to still our thoughts and learn to be present. Good luck!