Coinbase is one of the first en safest cryptocurrency in the space. When you start buying and storing cryptocurrency this is the best place to start.

Coinbase has also a free crypto-earn-program. When you join you can earn up to $158 dollar free cryprocurrencies:
https://coinbase.com/earn/eos/invite/nq7456yc
https://coinbase.com/earn/xlm/invite/rdg9w5f1
https://coinbase.com/earn/eos/invite/wt52kvs9
There are also other good exchanges like Huobi, Binance, Uphold and Hotbit. Try Coinbase first before you try the others.