Bittrex is the top altcoin exchange right now to buy Neo and other currencies. You need bitcoin to buy it which can be purchased through coinbase.com
As for other coins I really like Eos and Tezos. Tezos will alleviate the hardforking problem with its governance system and Eos is like Neo and the founder is creator of steemit and bitshares.
What he said ^
Hello stlcp! Thank you for updating me on the exchanges, I will look into these sites.