There are many exchanges and wallets. Some wallets are dedicated to one coin, and some handle many coins. For multiple coins and an easy user interface take a look at JAXX and Coinomi.

Exchanges vary in what coins they offer to trade. It also depends on where you live as to whether you can use the exchange or not in many cases.
Bitshares is decentralized, many like it, just read about it to avoid confusion about the coins there.
Bittrex is very user friendly and has most coins discussed here, but not all.
Binance is newer but is getting great reviews.
A fairly complete list can be found here:
https://coinmarketcap.com/
If you search any coin on that site, you can then click markets to see where it is traded, hope that helps!

For charting, Haejin uses https://www.Tradingview.com It has all the tools he uses built in.