I would start investing from saving the money and making a financial cushion. Many people ignore the importance of this step, but they are absolutely wrong. Before investing, you should make sure that if something terrible happens in your life, you will be able to cover the extra expenses or absense of income without withdrawing the money from your investing account. Firstly, you should feel financiallt safe and only after it can you invest.
Technically, all ypu've got to do is just to find the broker and make an investing account. I would also recommend you to read Intelligent Investor by Benjamin Graham. This book is a nice introduction to the world of investing. It will give you lots of useful information concerning balanced portfolio. Surely, it is not a page-turned and you'll have to demonstrate some patience, but it is definetely worth it.