Other than Coinbase...where can I purchase other crytocurrencies? What would you recommend? I have a small amount of Bitcoin and Litecoin now.
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Binance. One of largest volume exchange with a lot of altcoin support. Currently at #5 with over a million dollar daily volume. #1, #2, #3 is not an altcoin-friendly exchange. They only list several major altcoins and their major volume are from USD pair. Binance is fast, supports a lot of altcoins, haven't heard of any issue about them. But all those reasons are mediocre, what I like the most about Binance is that they usually support Bitcoin forks and one of the first exchange that lists those forked coins.
My second preferences would be Bittrex. Has been there for a years without any problem, no negative issue, no hacking, nothing. It's just that they don't usually support Bitcoin forks.