Don't do it until you have educated yourself enough to know what you are doing.
I hope you won't take this personally, but given that you are wandering around asking random strangers on the Internet how to "get into investing," I feel safe in concluding that you are by no means a sophisticated enough investor to be choosing individual investments, nor should you be trusting financial advisors to choose investments for you. Believe me, they do not have your interests at heart.
I usually advise people in your position to start by reading one book: A Random Walk Down Wall Street by Burton Malkiel.
Once you've read the book by Malkiel you'll understand that the best strategy for all but the most sophisticated investors is to buy an index fund, which simply purchases a portfolio of ALL available stocks without trying to pick winners and losers.
The best index funds are at Vanguard (there is also a Vanguard site for non-US residents). Vanguard is one of the very, very, very few honest players in the business. Unlike almost any other mutual fund, Vanguard is owned by its investors, so it has no profit motive. They never try to pick individual stocks, so they don't have to pay fancy high-priced analysts to pick stocks.
If you find it impossible to open a Vanguard account from wherever you're living, find a local brokerage account that will allow you to invest in the US stock market. Many Vanguard mutual funds are available as ETFs which means that you buy and sell them just like any other stock on the US market, which should be easy to do from any reasonably civilized place.
