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Bookmark this website. Here is the list of markets that sell Steem.

http://coinmarketcap.com/currencies/steem/#markets

Make sure you pay attention to the coin parings. They tell you what you can exchange for or "shape shift".

https://steemit.com/steem/@steempower/how-to-buy-steem-directly-within-steemit-com-powered-by-blocktrades

Here you go, full detailed tutorial.
And I won't recommend to invest much money, if you are new to crypto currencies,
Unless you are a blogger with good content and you know " STEEMIT IS YOUR TYPE OF THING ".

GOOD LUCK :)