I don't have much money - around $10k in savings. How do I start investing?

If you are really new to investing, best to sign up for a brokerage account. A trading account allows you to buy shares of companies in the stock market. I signed up with Citibank. http://www.citibank.com.sg/gcb/investments/citi_brokerage.htm?eOfferCode=SGIVBRPWAL