If you are from the Philippines. The easiest way to buy NEO is by having a http://coins.ph account. Once registered, it will ask you to verify your account in order to start doing medium-large transactions. You can deposit PHP in your coins.ph instantly by going to your local 7/11 store or Cebuana Lhuillier or M'lhuillier.
I prefer going to Cebuana because the transaction fee is fixed (Php 40.00). Unlike in 7/11 which charges around 1% of the deposit amount which could grow high.
To buy NEO, you can either go to http://binance.com or http://bittrex.com. You can simply copy and paste your wallet address from any of those exchange sites to send bitcoins from your coins.ph account.
Then that's pretty much about it. You now own NEO tokens! I suggest sending them to your personal wallet. Currently, the most popular one is Neon-Wallet which you can get from here: https://github.com/CityOfZion/neon-wallet/releases